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Finding the Fourth Proportional to 2,498.42, 3,448.82 and 1,504.55

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Solution

The fourth proportional to 2,498.42, 3,448.82 and 1,504.55 is: 2,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.42 : 3,448.82 = 1,504.55 : x
  2. Step 2: Convert to fraction form
    2,498.42/3,448.82 = 1,504.55/x
  3. Step 3: Cross multiply
    2,498.42x = 3,448.82 × 1,504.55
  4. Step 4: Simplify right side
    2,498.42x = 5,188,908.65
  5. Step 5: Solve for x
    x = 5,188,908.65/2,498.42
  6. Step 6: Final answer
    x = 2,076.88

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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.