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Finding the Fourth Proportional to 2,498.72, 3,446.64 and 1,503.44

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Solution

The fourth proportional to 2,498.72, 3,446.64 and 1,503.44 is: 2,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.72 : 3,446.64 = 1,503.44 : x
  2. Step 2: Convert to fraction form
    2,498.72/3,446.64 = 1,503.44/x
  3. Step 3: Cross multiply
    2,498.72x = 3,446.64 × 1,503.44
  4. Step 4: Simplify right side
    2,498.72x = 5,181,816.44
  5. Step 5: Solve for x
    x = 5,181,816.44/2,498.72
  6. Step 6: Final answer
    x = 2,073.79

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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.