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Finding the Fourth Proportional to 2,499.39, 3,748.68 and 768.02

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Solution

The fourth proportional to 2,499.39, 3,748.68 and 768.02 is: 1,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.39 : 3,748.68 = 768.02 : x
  2. Step 2: Convert to fraction form
    2,499.39/3,748.68 = 768.02/x
  3. Step 3: Cross multiply
    2,499.39x = 3,748.68 × 768.02
  4. Step 4: Simplify right side
    2,499.39x = 2,879,042.47
  5. Step 5: Solve for x
    x = 2,879,042.47/2,499.39
  6. Step 6: Final answer
    x = 1,151.90

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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.