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Finding the Fourth Proportional to 2,479.56, 3,719.64 and 748.20

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Solution

The fourth proportional to 2,479.56, 3,719.64 and 748.20 is: 1,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.56 : 3,719.64 = 748.20 : x
  2. Step 2: Convert to fraction form
    2,479.56/3,719.64 = 748.20/x
  3. Step 3: Cross multiply
    2,479.56x = 3,719.64 × 748.20
  4. Step 4: Simplify right side
    2,479.56x = 2,783,034.65
  5. Step 5: Solve for x
    x = 2,783,034.65/2,479.56
  6. Step 6: Final answer
    x = 1,122.39

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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.