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Finding the Fourth Proportional to 2,974.70, 4,459.62 and 2,002.70

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Solution

The fourth proportional to 2,974.70, 4,459.62 and 2,002.70 is: 3,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.70 : 4,459.62 = 2,002.70 : x
  2. Step 2: Convert to fraction form
    2,974.70/4,459.62 = 2,002.70/x
  3. Step 3: Cross multiply
    2,974.70x = 4,459.62 × 2,002.70
  4. Step 4: Simplify right side
    2,974.70x = 8,931,280.97
  5. Step 5: Solve for x
    x = 8,931,280.97/2,974.70
  6. Step 6: Final answer
    x = 3,002.41

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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.