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Finding the Fourth Proportional to 2,706.14, 4,060.83 and 974.90

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Solution

The fourth proportional to 2,706.14, 4,060.83 and 974.90 is: 1,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.14 : 4,060.83 = 974.90 : x
  2. Step 2: Convert to fraction form
    2,706.14/4,060.83 = 974.90/x
  3. Step 3: Cross multiply
    2,706.14x = 4,060.83 × 974.90
  4. Step 4: Simplify right side
    2,706.14x = 3,958,882.86
  5. Step 5: Solve for x
    x = 3,958,882.86/2,706.14
  6. Step 6: Final answer
    x = 1,462.93

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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.