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Finding the Fourth Proportional to 2,382.85, 3,560.18 and 2,301.09

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Solution

The fourth proportional to 2,382.85, 3,560.18 and 2,301.09 is: 3,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.85 : 3,560.18 = 2,301.09 : x
  2. Step 2: Convert to fraction form
    2,382.85/3,560.18 = 2,301.09/x
  3. Step 3: Cross multiply
    2,382.85x = 3,560.18 × 2,301.09
  4. Step 4: Simplify right side
    2,382.85x = 8,192,288.90
  5. Step 5: Solve for x
    x = 8,192,288.90/2,382.85
  6. Step 6: Final answer
    x = 3,438.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.