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Finding the Fourth Proportional to 3,114.52, 4,672.42 and 1,265.63

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Solution

The fourth proportional to 3,114.52, 4,672.42 and 1,265.63 is: 1,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.52 : 4,672.42 = 1,265.63 : x
  2. Step 2: Convert to fraction form
    3,114.52/4,672.42 = 1,265.63/x
  3. Step 3: Cross multiply
    3,114.52x = 4,672.42 × 1,265.63
  4. Step 4: Simplify right side
    3,114.52x = 5,913,567.82
  5. Step 5: Solve for x
    x = 5,913,567.82/3,114.52
  6. Step 6: Final answer
    x = 1,898.71

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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.