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Finding the Fourth Proportional to 2,602.91, 3,589.57 and 2,073.55

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Solution

The fourth proportional to 2,602.91, 3,589.57 and 2,073.55 is: 2,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.91 : 3,589.57 = 2,073.55 : x
  2. Step 2: Convert to fraction form
    2,602.91/3,589.57 = 2,073.55/x
  3. Step 3: Cross multiply
    2,602.91x = 3,589.57 × 2,073.55
  4. Step 4: Simplify right side
    2,602.91x = 7,443,149.08
  5. Step 5: Solve for x
    x = 7,443,149.08/2,602.91
  6. Step 6: Final answer
    x = 2,859.55

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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.