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Finding the Fourth Proportional to 3,046.10, 4,569.69 and 854.78

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Solution

The fourth proportional to 3,046.10, 4,569.69 and 854.78 is: 1,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.10 : 4,569.69 = 854.78 : x
  2. Step 2: Convert to fraction form
    3,046.10/4,569.69 = 854.78/x
  3. Step 3: Cross multiply
    3,046.10x = 4,569.69 × 854.78
  4. Step 4: Simplify right side
    3,046.10x = 3,906,079.62
  5. Step 5: Solve for x
    x = 3,906,079.62/3,046.10
  6. Step 6: Final answer
    x = 1,282.32

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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.