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Finding the Fourth Proportional to 2,002.39, 3,005.80 and 1,181.25

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Solution

The fourth proportional to 2,002.39, 3,005.80 and 1,181.25 is: 1,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.39 : 3,005.80 = 1,181.25 : x
  2. Step 2: Convert to fraction form
    2,002.39/3,005.80 = 1,181.25/x
  3. Step 3: Cross multiply
    2,002.39x = 3,005.80 × 1,181.25
  4. Step 4: Simplify right side
    2,002.39x = 3,550,598.30
  5. Step 5: Solve for x
    x = 3,550,598.30/2,002.39
  6. Step 6: Final answer
    x = 1,773.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.