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Finding the Fourth Proportional to 2,499.39, 3,747.74 and 767.79

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Solution

The fourth proportional to 2,499.39, 3,747.74 and 767.79 is: 1,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.39 : 3,747.74 = 767.79 : x
  2. Step 2: Convert to fraction form
    2,499.39/3,747.74 = 767.79/x
  3. Step 3: Cross multiply
    2,499.39x = 3,747.74 × 767.79
  4. Step 4: Simplify right side
    2,499.39x = 2,877,473.46
  5. Step 5: Solve for x
    x = 2,877,473.46/2,499.39
  6. Step 6: Final answer
    x = 1,151.27

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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.