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Finding the Fourth Proportional to 3,431.54, 5,146.29 and 1,787.19

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Solution

The fourth proportional to 3,431.54, 5,146.29 and 1,787.19 is: 2,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.54 : 5,146.29 = 1,787.19 : x
  2. Step 2: Convert to fraction form
    3,431.54/5,146.29 = 1,787.19/x
  3. Step 3: Cross multiply
    3,431.54x = 5,146.29 × 1,787.19
  4. Step 4: Simplify right side
    3,431.54x = 9,197,398.03
  5. Step 5: Solve for x
    x = 9,197,398.03/3,431.54
  6. Step 6: Final answer
    x = 2,680.26

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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.