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Finding the Fourth Proportional to 2,491.92, 3,720.60 and 2,144.88

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Solution

The fourth proportional to 2,491.92, 3,720.60 and 2,144.88 is: 3,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.92 : 3,720.60 = 2,144.88 : x
  2. Step 2: Convert to fraction form
    2,491.92/3,720.60 = 2,144.88/x
  3. Step 3: Cross multiply
    2,491.92x = 3,720.60 × 2,144.88
  4. Step 4: Simplify right side
    2,491.92x = 7,980,240.53
  5. Step 5: Solve for x
    x = 7,980,240.53/2,491.92
  6. Step 6: Final answer
    x = 3,202.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.