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Finding the Fourth Proportional to 2,910.57, 4,364.10 and 1,265.73

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Solution

The fourth proportional to 2,910.57, 4,364.10 and 1,265.73 is: 1,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.57 : 4,364.10 = 1,265.73 : x
  2. Step 2: Convert to fraction form
    2,910.57/4,364.10 = 1,265.73/x
  3. Step 3: Cross multiply
    2,910.57x = 4,364.10 × 1,265.73
  4. Step 4: Simplify right side
    2,910.57x = 5,523,772.29
  5. Step 5: Solve for x
    x = 5,523,772.29/2,910.57
  6. Step 6: Final answer
    x = 1,897.83

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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.