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Finding the Fourth Proportional to 2,387.64, 3,292.18 and 1,966.44

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Solution

The fourth proportional to 2,387.64, 3,292.18 and 1,966.44 is: 2,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.64 : 3,292.18 = 1,966.44 : x
  2. Step 2: Convert to fraction form
    2,387.64/3,292.18 = 1,966.44/x
  3. Step 3: Cross multiply
    2,387.64x = 3,292.18 × 1,966.44
  4. Step 4: Simplify right side
    2,387.64x = 6,473,874.44
  5. Step 5: Solve for x
    x = 6,473,874.44/2,387.64
  6. Step 6: Final answer
    x = 2,711.41

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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.