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Finding the Fourth Proportional to 3,427.98, 5,143.05 and 1,480.20

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Solution

The fourth proportional to 3,427.98, 5,143.05 and 1,480.20 is: 2,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.98 : 5,143.05 = 1,480.20 : x
  2. Step 2: Convert to fraction form
    3,427.98/5,143.05 = 1,480.20/x
  3. Step 3: Cross multiply
    3,427.98x = 5,143.05 × 1,480.20
  4. Step 4: Simplify right side
    3,427.98x = 7,612,742.61
  5. Step 5: Solve for x
    x = 7,612,742.61/3,427.98
  6. Step 6: Final answer
    x = 2,220.77

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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.