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Finding the Fourth Proportional to 2,385.98, 3,577.92 and 1,399.76

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Solution

The fourth proportional to 2,385.98, 3,577.92 and 1,399.76 is: 2,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.98 : 3,577.92 = 1,399.76 : x
  2. Step 2: Convert to fraction form
    2,385.98/3,577.92 = 1,399.76/x
  3. Step 3: Cross multiply
    2,385.98x = 3,577.92 × 1,399.76
  4. Step 4: Simplify right side
    2,385.98x = 5,008,229.30
  5. Step 5: Solve for x
    x = 5,008,229.30/2,385.98
  6. Step 6: Final answer
    x = 2,099.02

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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.