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Finding the Fourth Proportional to 2,792.32, 4,187.70 and 943.04

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Solution

The fourth proportional to 2,792.32, 4,187.70 and 943.04 is: 1,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.32 : 4,187.70 = 943.04 : x
  2. Step 2: Convert to fraction form
    2,792.32/4,187.70 = 943.04/x
  3. Step 3: Cross multiply
    2,792.32x = 4,187.70 × 943.04
  4. Step 4: Simplify right side
    2,792.32x = 3,949,179.08
  5. Step 5: Solve for x
    x = 3,949,179.08/2,792.32
  6. Step 6: Final answer
    x = 1,414.30

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