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Finding the Fourth Proportional to 3,114.85, 4,672.91 and 1,265.96

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Solution

The fourth proportional to 3,114.85, 4,672.91 and 1,265.96 is: 1,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.85 : 4,672.91 = 1,265.96 : x
  2. Step 2: Convert to fraction form
    3,114.85/4,672.91 = 1,265.96/x
  3. Step 3: Cross multiply
    3,114.85x = 4,672.91 × 1,265.96
  4. Step 4: Simplify right side
    3,114.85x = 5,915,714.47
  5. Step 5: Solve for x
    x = 5,915,714.47/3,114.85
  6. Step 6: Final answer
    x = 1,899.20

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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.