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Finding the Fourth Proportional to 2,324.43, 3,484.15 and 862.79

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Solution

The fourth proportional to 2,324.43, 3,484.15 and 862.79 is: 1,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.43 : 3,484.15 = 862.79 : x
  2. Step 2: Convert to fraction form
    2,324.43/3,484.15 = 862.79/x
  3. Step 3: Cross multiply
    2,324.43x = 3,484.15 × 862.79
  4. Step 4: Simplify right side
    2,324.43x = 3,006,070.20
  5. Step 5: Solve for x
    x = 3,006,070.20/2,324.43
  6. Step 6: Final answer
    x = 1,293.25

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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.