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Finding the Fourth Proportional to 2,538.37, 3,807.54 and 689.48

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Solution

The fourth proportional to 2,538.37, 3,807.54 and 689.48 is: 1,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.37 : 3,807.54 = 689.48 : x
  2. Step 2: Convert to fraction form
    2,538.37/3,807.54 = 689.48/x
  3. Step 3: Cross multiply
    2,538.37x = 3,807.54 × 689.48
  4. Step 4: Simplify right side
    2,538.37x = 2,625,217.92
  5. Step 5: Solve for x
    x = 2,625,217.92/2,538.37
  6. Step 6: Final answer
    x = 1,034.21

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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.