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Finding the Fourth Proportional to 3,314.74, 4,974.34 and 1,366.90

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Solution

The fourth proportional to 3,314.74, 4,974.34 and 1,366.90 is: 2,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.74 : 4,974.34 = 1,366.90 : x
  2. Step 2: Convert to fraction form
    3,314.74/4,974.34 = 1,366.90/x
  3. Step 3: Cross multiply
    3,314.74x = 4,974.34 × 1,366.90
  4. Step 4: Simplify right side
    3,314.74x = 6,799,414.62
  5. Step 5: Solve for x
    x = 6,799,414.62/3,314.74
  6. Step 6: Final answer
    x = 2,051.27

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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.