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Finding the Fourth Proportional to 2,867.39, 3,957.81 and 1,689.14

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Solution

The fourth proportional to 2,867.39, 3,957.81 and 1,689.14 is: 2,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.39 : 3,957.81 = 1,689.14 : x
  2. Step 2: Convert to fraction form
    2,867.39/3,957.81 = 1,689.14/x
  3. Step 3: Cross multiply
    2,867.39x = 3,957.81 × 1,689.14
  4. Step 4: Simplify right side
    2,867.39x = 6,685,275.39
  5. Step 5: Solve for x
    x = 6,685,275.39/2,867.39
  6. Step 6: Final answer
    x = 2,331.49

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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.