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Finding the Fourth Proportional to 2,677.85, 3,990.48 and 2,589.75

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Solution

The fourth proportional to 2,677.85, 3,990.48 and 2,589.75 is: 3,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.85 : 3,990.48 = 2,589.75 : x
  2. Step 2: Convert to fraction form
    2,677.85/3,990.48 = 2,589.75/x
  3. Step 3: Cross multiply
    2,677.85x = 3,990.48 × 2,589.75
  4. Step 4: Simplify right side
    2,677.85x = 10,334,345.58
  5. Step 5: Solve for x
    x = 10,334,345.58/2,677.85
  6. Step 6: Final answer
    x = 3,859.20

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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.