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Finding the Fourth Proportional to 2,914.78, 4,372.17 and 967.13

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Solution

The fourth proportional to 2,914.78, 4,372.17 and 967.13 is: 1,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.78 : 4,372.17 = 967.13 : x
  2. Step 2: Convert to fraction form
    2,914.78/4,372.17 = 967.13/x
  3. Step 3: Cross multiply
    2,914.78x = 4,372.17 × 967.13
  4. Step 4: Simplify right side
    2,914.78x = 4,228,456.77
  5. Step 5: Solve for x
    x = 4,228,456.77/2,914.78
  6. Step 6: Final answer
    x = 1,450.70

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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.