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Finding the Fourth Proportional to 2,697.48, 3,724.38 and 1,650.24

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Solution

The fourth proportional to 2,697.48, 3,724.38 and 1,650.24 is: 2,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.48 : 3,724.38 = 1,650.24 : x
  2. Step 2: Convert to fraction form
    2,697.48/3,724.38 = 1,650.24/x
  3. Step 3: Cross multiply
    2,697.48x = 3,724.38 × 1,650.24
  4. Step 4: Simplify right side
    2,697.48x = 6,146,120.85
  5. Step 5: Solve for x
    x = 6,146,120.85/2,697.48
  6. Step 6: Final answer
    x = 2,278.47

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Half scale
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Double scale
Find fourth proportional to 2,698.48, 3,725.76 and 1,651.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.