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Finding the Fourth Proportional to 2,589.17, 3,575.95 and 2,006.78

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Solution

The fourth proportional to 2,589.17, 3,575.95 and 2,006.78 is: 2,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.17 : 3,575.95 = 2,006.78 : x
  2. Step 2: Convert to fraction form
    2,589.17/3,575.95 = 2,006.78/x
  3. Step 3: Cross multiply
    2,589.17x = 3,575.95 × 2,006.78
  4. Step 4: Simplify right side
    2,589.17x = 7,176,122.04
  5. Step 5: Solve for x
    x = 7,176,122.04/2,589.17
  6. Step 6: Final answer
    x = 2,771.60

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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.