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Finding the Fourth Proportional to 1,884.57, 2,600.25 and 1,221.33

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Solution

The fourth proportional to 1,884.57, 2,600.25 and 1,221.33 is: 1,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.57 : 2,600.25 = 1,221.33 : x
  2. Step 2: Convert to fraction form
    1,884.57/2,600.25 = 1,221.33/x
  3. Step 3: Cross multiply
    1,884.57x = 2,600.25 × 1,221.33
  4. Step 4: Simplify right side
    1,884.57x = 3,175,760.75
  5. Step 5: Solve for x
    x = 3,175,760.75/1,884.57
  6. Step 6: Final answer
    x = 1,685.14

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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.