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Finding the Fourth Proportional to 2,581.47, 3,870.99 and 1,194.39

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Solution

The fourth proportional to 2,581.47, 3,870.99 and 1,194.39 is: 1,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.47 : 3,870.99 = 1,194.39 : x
  2. Step 2: Convert to fraction form
    2,581.47/3,870.99 = 1,194.39/x
  3. Step 3: Cross multiply
    2,581.47x = 3,870.99 × 1,194.39
  4. Step 4: Simplify right side
    2,581.47x = 4,623,471.75
  5. Step 5: Solve for x
    x = 4,623,471.75/2,581.47
  6. Step 6: Final answer
    x = 1,791.02

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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.