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Finding the Fourth Proportional to 2,498.04, 3,447.90 and 1,502.82

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Solution

The fourth proportional to 2,498.04, 3,447.90 and 1,502.82 is: 2,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.04 : 3,447.90 = 1,502.82 : x
  2. Step 2: Convert to fraction form
    2,498.04/3,447.90 = 1,502.82/x
  3. Step 3: Cross multiply
    2,498.04x = 3,447.90 × 1,502.82
  4. Step 4: Simplify right side
    2,498.04x = 5,181,573.08
  5. Step 5: Solve for x
    x = 5,181,573.08/2,498.04
  6. Step 6: Final answer
    x = 2,074.26

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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.