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Finding the Fourth Proportional to 3,046.59, 4,569.89 and 966.83

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Solution

The fourth proportional to 3,046.59, 4,569.89 and 966.83 is: 1,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.59 : 4,569.89 = 966.83 : x
  2. Step 2: Convert to fraction form
    3,046.59/4,569.89 = 966.83/x
  3. Step 3: Cross multiply
    3,046.59x = 4,569.89 × 966.83
  4. Step 4: Simplify right side
    3,046.59x = 4,418,279.07
  5. Step 5: Solve for x
    x = 4,418,279.07/3,046.59
  6. Step 6: Final answer
    x = 1,450.24

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Similar ratio
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1.5x scale

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.