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Finding the Fourth Proportional to 2,740.74, 4,109.28 and 1,508.73

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Solution

The fourth proportional to 2,740.74, 4,109.28 and 1,508.73 is: 2,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.74 : 4,109.28 = 1,508.73 : x
  2. Step 2: Convert to fraction form
    2,740.74/4,109.28 = 1,508.73/x
  3. Step 3: Cross multiply
    2,740.74x = 4,109.28 × 1,508.73
  4. Step 4: Simplify right side
    2,740.74x = 6,199,781.43
  5. Step 5: Solve for x
    x = 6,199,781.43/2,740.74
  6. Step 6: Final answer
    x = 2,262.09

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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.