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Finding the Fourth Proportional to 2,669.88, 3,682.58 and 2,449.56

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Solution

The fourth proportional to 2,669.88, 3,682.58 and 2,449.56 is: 3,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.88 : 3,682.58 = 2,449.56 : x
  2. Step 2: Convert to fraction form
    2,669.88/3,682.58 = 2,449.56/x
  3. Step 3: Cross multiply
    2,669.88x = 3,682.58 × 2,449.56
  4. Step 4: Simplify right side
    2,669.88x = 9,020,700.66
  5. Step 5: Solve for x
    x = 9,020,700.66/2,669.88
  6. Step 6: Final answer
    x = 3,378.69

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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.