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Finding the Fourth Proportional to 2,498.42, 3,747.54 and 767

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Solution

The fourth proportional to 2,498.42, 3,747.54 and 767 is: 1,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.42 : 3,747.54 = 767 : x
  2. Step 2: Convert to fraction form
    2,498.42/3,747.54 = 767/x
  3. Step 3: Cross multiply
    2,498.42x = 3,747.54 × 767
  4. Step 4: Simplify right side
    2,498.42x = 2,874,363.18
  5. Step 5: Solve for x
    x = 2,874,363.18/2,498.42
  6. Step 6: Final answer
    x = 1,150.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.