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Finding the Fourth Proportional to 2,294.24, 3,167.52 and 1,410.88

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Solution

The fourth proportional to 2,294.24, 3,167.52 and 1,410.88 is: 1,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.24 : 3,167.52 = 1,410.88 : x
  2. Step 2: Convert to fraction form
    2,294.24/3,167.52 = 1,410.88/x
  3. Step 3: Cross multiply
    2,294.24x = 3,167.52 × 1,410.88
  4. Step 4: Simplify right side
    2,294.24x = 4,468,990.62
  5. Step 5: Solve for x
    x = 4,468,990.62/2,294.24
  6. Step 6: Final answer
    x = 1,947.92

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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.