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Finding the Fourth Proportional to 3,046.70, 4,568.42 and 966.15

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Solution

The fourth proportional to 3,046.70, 4,568.42 and 966.15 is: 1,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.70 : 4,568.42 = 966.15 : x
  2. Step 2: Convert to fraction form
    3,046.70/4,568.42 = 966.15/x
  3. Step 3: Cross multiply
    3,046.70x = 4,568.42 × 966.15
  4. Step 4: Simplify right side
    3,046.70x = 4,413,781.40
  5. Step 5: Solve for x
    x = 4,413,781.40/3,046.70
  6. Step 6: Final answer
    x = 1,448.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.