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Finding the Fourth Proportional to 2,113.52, 3,173.02 and 1,626.92

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Solution

The fourth proportional to 2,113.52, 3,173.02 and 1,626.92 is: 2,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.52 : 3,173.02 = 1,626.92 : x
  2. Step 2: Convert to fraction form
    2,113.52/3,173.02 = 1,626.92/x
  3. Step 3: Cross multiply
    2,113.52x = 3,173.02 × 1,626.92
  4. Step 4: Simplify right side
    2,113.52x = 5,162,249.70
  5. Step 5: Solve for x
    x = 5,162,249.70/2,113.52
  6. Step 6: Final answer
    x = 2,442.49

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.