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Finding the Fourth Proportional to 2,697.44, 4,047.13 and 942.70

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Solution

The fourth proportional to 2,697.44, 4,047.13 and 942.70 is: 1,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.44 : 4,047.13 = 942.70 : x
  2. Step 2: Convert to fraction form
    2,697.44/4,047.13 = 942.70/x
  3. Step 3: Cross multiply
    2,697.44x = 4,047.13 × 942.70
  4. Step 4: Simplify right side
    2,697.44x = 3,815,229.45
  5. Step 5: Solve for x
    x = 3,815,229.45/2,697.44
  6. Step 6: Final answer
    x = 1,414.39

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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.