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Finding the Fourth Proportional to 2,536.74, 3,801.96 and 1,437.78

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Solution

The fourth proportional to 2,536.74, 3,801.96 and 1,437.78 is: 2,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.74 : 3,801.96 = 1,437.78 : x
  2. Step 2: Convert to fraction form
    2,536.74/3,801.96 = 1,437.78/x
  3. Step 3: Cross multiply
    2,536.74x = 3,801.96 × 1,437.78
  4. Step 4: Simplify right side
    2,536.74x = 5,466,382.05
  5. Step 5: Solve for x
    x = 5,466,382.05/2,536.74
  6. Step 6: Final answer
    x = 2,154.88

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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.