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Finding the Fourth Proportional to 2,867.31, 3,957.06 and 1,689.17

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Solution

The fourth proportional to 2,867.31, 3,957.06 and 1,689.17 is: 2,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.31 : 3,957.06 = 1,689.17 : x
  2. Step 2: Convert to fraction form
    2,867.31/3,957.06 = 1,689.17/x
  3. Step 3: Cross multiply
    2,867.31x = 3,957.06 × 1,689.17
  4. Step 4: Simplify right side
    2,867.31x = 6,684,127.25
  5. Step 5: Solve for x
    x = 6,684,127.25/2,867.31
  6. Step 6: Final answer
    x = 2,331.15

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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.