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Finding the Fourth Proportional to 2,479.76, 3,720.12 and 748.16

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Solution

The fourth proportional to 2,479.76, 3,720.12 and 748.16 is: 1,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.76 : 3,720.12 = 748.16 : x
  2. Step 2: Convert to fraction form
    2,479.76/3,720.12 = 748.16/x
  3. Step 3: Cross multiply
    2,479.76x = 3,720.12 × 748.16
  4. Step 4: Simplify right side
    2,479.76x = 2,783,244.98
  5. Step 5: Solve for x
    x = 2,783,244.98/2,479.76
  6. Step 6: Final answer
    x = 1,122.38

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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.