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Finding the Fourth Proportional to 2,527.29, 3,787.29 and 1,600.29

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Solution

The fourth proportional to 2,527.29, 3,787.29 and 1,600.29 is: 2,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.29 : 3,787.29 = 1,600.29 : x
  2. Step 2: Convert to fraction form
    2,527.29/3,787.29 = 1,600.29/x
  3. Step 3: Cross multiply
    2,527.29x = 3,787.29 × 1,600.29
  4. Step 4: Simplify right side
    2,527.29x = 6,060,762.31
  5. Step 5: Solve for x
    x = 6,060,762.31/2,527.29
  6. Step 6: Final answer
    x = 2,398.13

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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.