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Finding the Fourth Proportional to 2,449.86, 3,380.43 and 1,454.77

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Solution

The fourth proportional to 2,449.86, 3,380.43 and 1,454.77 is: 2,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.86 : 3,380.43 = 1,454.77 : x
  2. Step 2: Convert to fraction form
    2,449.86/3,380.43 = 1,454.77/x
  3. Step 3: Cross multiply
    2,449.86x = 3,380.43 × 1,454.77
  4. Step 4: Simplify right side
    2,449.86x = 4,917,748.15
  5. Step 5: Solve for x
    x = 4,917,748.15/2,449.86
  6. Step 6: Final answer
    x = 2,007.36

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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.