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Finding the Fourth Proportional to 2,715.64, 3,747.57 and 1,473.64

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Solution

The fourth proportional to 2,715.64, 3,747.57 and 1,473.64 is: 2,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.64 : 3,747.57 = 1,473.64 : x
  2. Step 2: Convert to fraction form
    2,715.64/3,747.57 = 1,473.64/x
  3. Step 3: Cross multiply
    2,715.64x = 3,747.57 × 1,473.64
  4. Step 4: Simplify right side
    2,715.64x = 5,522,569.05
  5. Step 5: Solve for x
    x = 5,522,569.05/2,715.64
  6. Step 6: Final answer
    x = 2,033.62

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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.