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Finding the Fourth Proportional to 2,574.75, 3,862.23 and 1,478.61

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Solution

The fourth proportional to 2,574.75, 3,862.23 and 1,478.61 is: 2,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.75 : 3,862.23 = 1,478.61 : x
  2. Step 2: Convert to fraction form
    2,574.75/3,862.23 = 1,478.61/x
  3. Step 3: Cross multiply
    2,574.75x = 3,862.23 × 1,478.61
  4. Step 4: Simplify right side
    2,574.75x = 5,710,731.90
  5. Step 5: Solve for x
    x = 5,710,731.90/2,574.75
  6. Step 6: Final answer
    x = 2,217.98

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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.