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Finding the Fourth Proportional to 3,046.67, 4,569.99 and 738.17

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Solution

The fourth proportional to 3,046.67, 4,569.99 and 738.17 is: 1,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.67 : 4,569.99 = 738.17 : x
  2. Step 2: Convert to fraction form
    3,046.67/4,569.99 = 738.17/x
  3. Step 3: Cross multiply
    3,046.67x = 4,569.99 × 738.17
  4. Step 4: Simplify right side
    3,046.67x = 3,373,429.52
  5. Step 5: Solve for x
    x = 3,373,429.52/3,046.67
  6. Step 6: Final answer
    x = 1,107.25

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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.