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Finding the Fourth Proportional to 1,863.64, 2,785.42 and 1,627.53

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Solution

The fourth proportional to 1,863.64, 2,785.42 and 1,627.53 is: 2,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.64 : 2,785.42 = 1,627.53 : x
  2. Step 2: Convert to fraction form
    1,863.64/2,785.42 = 1,627.53/x
  3. Step 3: Cross multiply
    1,863.64x = 2,785.42 × 1,627.53
  4. Step 4: Simplify right side
    1,863.64x = 4,533,346.20
  5. Step 5: Solve for x
    x = 4,533,346.20/1,863.64
  6. Step 6: Final answer
    x = 2,432.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.