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Finding the Fourth Proportional to 2,654.46, 3,981.76 and 923.09

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Solution

The fourth proportional to 2,654.46, 3,981.76 and 923.09 is: 1,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.46 : 3,981.76 = 923.09 : x
  2. Step 2: Convert to fraction form
    2,654.46/3,981.76 = 923.09/x
  3. Step 3: Cross multiply
    2,654.46x = 3,981.76 × 923.09
  4. Step 4: Simplify right side
    2,654.46x = 3,675,500.62
  5. Step 5: Solve for x
    x = 3,675,500.62/2,654.46
  6. Step 6: Final answer
    x = 1,384.65

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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.