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Finding the Fourth Proportional to 4,040.88, 6,061.20 and 1,442

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Solution

The fourth proportional to 4,040.88, 6,061.20 and 1,442 is: 2,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040.88 : 6,061.20 = 1,442 : x
  2. Step 2: Convert to fraction form
    4,040.88/6,061.20 = 1,442/x
  3. Step 3: Cross multiply
    4,040.88x = 6,061.20 × 1,442
  4. Step 4: Simplify right side
    4,040.88x = 8,740,250.40
  5. Step 5: Solve for x
    x = 8,740,250.40/4,040.88
  6. Step 6: Final answer
    x = 2,162.96

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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.