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Finding the Fourth Proportional to 2,509.92, 3,744.90 and 2,231.28

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Solution

The fourth proportional to 2,509.92, 3,744.90 and 2,231.28 is: 3,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.92 : 3,744.90 = 2,231.28 : x
  2. Step 2: Convert to fraction form
    2,509.92/3,744.90 = 2,231.28/x
  3. Step 3: Cross multiply
    2,509.92x = 3,744.90 × 2,231.28
  4. Step 4: Simplify right side
    2,509.92x = 8,355,920.47
  5. Step 5: Solve for x
    x = 8,355,920.47/2,509.92
  6. Step 6: Final answer
    x = 3,329.16

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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.