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Finding the Fourth Proportional to 3,212.29, 4,821.17 and 1,265.86

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Solution

The fourth proportional to 3,212.29, 4,821.17 and 1,265.86 is: 1,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.29 : 4,821.17 = 1,265.86 : x
  2. Step 2: Convert to fraction form
    3,212.29/4,821.17 = 1,265.86/x
  3. Step 3: Cross multiply
    3,212.29x = 4,821.17 × 1,265.86
  4. Step 4: Simplify right side
    3,212.29x = 6,102,926.26
  5. Step 5: Solve for x
    x = 6,102,926.26/3,212.29
  6. Step 6: Final answer
    x = 1,899.87

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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.