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Finding the Fourth Proportional to 2,399.20, 3,599 and 1,754.03

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Solution

The fourth proportional to 2,399.20, 3,599 and 1,754.03 is: 2,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.20 : 3,599 = 1,754.03 : x
  2. Step 2: Convert to fraction form
    2,399.20/3,599 = 1,754.03/x
  3. Step 3: Cross multiply
    2,399.20x = 3,599 × 1,754.03
  4. Step 4: Simplify right side
    2,399.20x = 6,312,753.97
  5. Step 5: Solve for x
    x = 6,312,753.97/2,399.20
  6. Step 6: Final answer
    x = 2,631.19

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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.