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Finding the Fourth Proportional to 2,423.10, 3,634.25 and 862.87

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Solution

The fourth proportional to 2,423.10, 3,634.25 and 862.87 is: 1,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.10 : 3,634.25 = 862.87 : x
  2. Step 2: Convert to fraction form
    2,423.10/3,634.25 = 862.87/x
  3. Step 3: Cross multiply
    2,423.10x = 3,634.25 × 862.87
  4. Step 4: Simplify right side
    2,423.10x = 3,135,885.30
  5. Step 5: Solve for x
    x = 3,135,885.30/2,423.10
  6. Step 6: Final answer
    x = 1,294.16

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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.