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Finding the Fourth Proportional to 2,678.76, 3,697.22 and 1,735.72

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Solution

The fourth proportional to 2,678.76, 3,697.22 and 1,735.72 is: 2,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.76 : 3,697.22 = 1,735.72 : x
  2. Step 2: Convert to fraction form
    2,678.76/3,697.22 = 1,735.72/x
  3. Step 3: Cross multiply
    2,678.76x = 3,697.22 × 1,735.72
  4. Step 4: Simplify right side
    2,678.76x = 6,417,338.70
  5. Step 5: Solve for x
    x = 6,417,338.70/2,678.76
  6. Step 6: Final answer
    x = 2,395.64

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Half scale
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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.