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Finding the Fourth Proportional to 2,601.68, 3,589.16 and 1,553.12

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Solution

The fourth proportional to 2,601.68, 3,589.16 and 1,553.12 is: 2,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.68 : 3,589.16 = 1,553.12 : x
  2. Step 2: Convert to fraction form
    2,601.68/3,589.16 = 1,553.12/x
  3. Step 3: Cross multiply
    2,601.68x = 3,589.16 × 1,553.12
  4. Step 4: Simplify right side
    2,601.68x = 5,574,396.18
  5. Step 5: Solve for x
    x = 5,574,396.18/2,601.68
  6. Step 6: Final answer
    x = 2,142.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.