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Finding the Fourth Proportional to 2,538.44, 3,807.20 and 1,151.45

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Solution

The fourth proportional to 2,538.44, 3,807.20 and 1,151.45 is: 1,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.44 : 3,807.20 = 1,151.45 : x
  2. Step 2: Convert to fraction form
    2,538.44/3,807.20 = 1,151.45/x
  3. Step 3: Cross multiply
    2,538.44x = 3,807.20 × 1,151.45
  4. Step 4: Simplify right side
    2,538.44x = 4,383,775.65
  5. Step 5: Solve for x
    x = 4,383,775.65/2,538.44
  6. Step 6: Final answer
    x = 1,726.95

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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.