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Finding the Fourth Proportional to 3,251.43, 4,870.25 and 1,497.87

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Solution

The fourth proportional to 3,251.43, 4,870.25 and 1,497.87 is: 2,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.43 : 4,870.25 = 1,497.87 : x
  2. Step 2: Convert to fraction form
    3,251.43/4,870.25 = 1,497.87/x
  3. Step 3: Cross multiply
    3,251.43x = 4,870.25 × 1,497.87
  4. Step 4: Simplify right side
    3,251.43x = 7,294,993.88
  5. Step 5: Solve for x
    x = 7,294,993.88/3,251.43
  6. Step 6: Final answer
    x = 2,243.63

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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.