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Finding the Fourth Proportional to 2,674.88, 3,689.48 and 2,454.56

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Solution

The fourth proportional to 2,674.88, 3,689.48 and 2,454.56 is: 3,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.88 : 3,689.48 = 2,454.56 : x
  2. Step 2: Convert to fraction form
    2,674.88/3,689.48 = 2,454.56/x
  3. Step 3: Cross multiply
    2,674.88x = 3,689.48 × 2,454.56
  4. Step 4: Simplify right side
    2,674.88x = 9,056,050.03
  5. Step 5: Solve for x
    x = 9,056,050.03/2,674.88
  6. Step 6: Final answer
    x = 3,385.59

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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.