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Finding the Fourth Proportional to 2,385.74, 3,292.35 and 1,787.17

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Solution

The fourth proportional to 2,385.74, 3,292.35 and 1,787.17 is: 2,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.74 : 3,292.35 = 1,787.17 : x
  2. Step 2: Convert to fraction form
    2,385.74/3,292.35 = 1,787.17/x
  3. Step 3: Cross multiply
    2,385.74x = 3,292.35 × 1,787.17
  4. Step 4: Simplify right side
    2,385.74x = 5,883,999.97
  5. Step 5: Solve for x
    x = 5,883,999.97/2,385.74
  6. Step 6: Final answer
    x = 2,466.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.