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Finding the Fourth Proportional to 2,677.88, 4,019.70 and 2,249.72

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Solution

The fourth proportional to 2,677.88, 4,019.70 and 2,249.72 is: 3,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.88 : 4,019.70 = 2,249.72 : x
  2. Step 2: Convert to fraction form
    2,677.88/4,019.70 = 2,249.72/x
  3. Step 3: Cross multiply
    2,677.88x = 4,019.70 × 2,249.72
  4. Step 4: Simplify right side
    2,677.88x = 9,043,199.48
  5. Step 5: Solve for x
    x = 9,043,199.48/2,677.88
  6. Step 6: Final answer
    x = 3,377.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.