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Finding the Fourth Proportional to 2,578.31, 3,867.45 and 934.47

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Solution

The fourth proportional to 2,578.31, 3,867.45 and 934.47 is: 1,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.31 : 3,867.45 = 934.47 : x
  2. Step 2: Convert to fraction form
    2,578.31/3,867.45 = 934.47/x
  3. Step 3: Cross multiply
    2,578.31x = 3,867.45 × 934.47
  4. Step 4: Simplify right side
    2,578.31x = 3,614,016.00
  5. Step 5: Solve for x
    x = 3,614,016.00/2,578.31
  6. Step 6: Final answer
    x = 1,401.70

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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.