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Finding the Fourth Proportional to 2,498.50, 3,744.24 and 1,036.72

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Solution

The fourth proportional to 2,498.50, 3,744.24 and 1,036.72 is: 1,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.50 : 3,744.24 = 1,036.72 : x
  2. Step 2: Convert to fraction form
    2,498.50/3,744.24 = 1,036.72/x
  3. Step 3: Cross multiply
    2,498.50x = 3,744.24 × 1,036.72
  4. Step 4: Simplify right side
    2,498.50x = 3,881,728.49
  5. Step 5: Solve for x
    x = 3,881,728.49/2,498.50
  6. Step 6: Final answer
    x = 1,553.62

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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.