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Finding the Fourth Proportional to 3,046.26, 4,569.48 and 854.88

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Solution

The fourth proportional to 3,046.26, 4,569.48 and 854.88 is: 1,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.26 : 4,569.48 = 854.88 : x
  2. Step 2: Convert to fraction form
    3,046.26/4,569.48 = 854.88/x
  3. Step 3: Cross multiply
    3,046.26x = 4,569.48 × 854.88
  4. Step 4: Simplify right side
    3,046.26x = 3,906,357.06
  5. Step 5: Solve for x
    x = 3,906,357.06/3,046.26
  6. Step 6: Final answer
    x = 1,282.35

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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.