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Finding the Fourth Proportional to 3,349.74, 5,024.65 and 1,269.18

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Solution

The fourth proportional to 3,349.74, 5,024.65 and 1,269.18 is: 1,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.74 : 5,024.65 = 1,269.18 : x
  2. Step 2: Convert to fraction form
    3,349.74/5,024.65 = 1,269.18/x
  3. Step 3: Cross multiply
    3,349.74x = 5,024.65 × 1,269.18
  4. Step 4: Simplify right side
    3,349.74x = 6,377,191.14
  5. Step 5: Solve for x
    x = 6,377,191.14/3,349.74
  6. Step 6: Final answer
    x = 1,903.79

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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.