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Finding the Fourth Proportional to 2,498.82, 3,446.83 and 2,002.64

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Solution

The fourth proportional to 2,498.82, 3,446.83 and 2,002.64 is: 2,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.82 : 3,446.83 = 2,002.64 : x
  2. Step 2: Convert to fraction form
    2,498.82/3,446.83 = 2,002.64/x
  3. Step 3: Cross multiply
    2,498.82x = 3,446.83 × 2,002.64
  4. Step 4: Simplify right side
    2,498.82x = 6,902,772.26
  5. Step 5: Solve for x
    x = 6,902,772.26/2,498.82
  6. Step 6: Final answer
    x = 2,762.41

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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.