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Finding the Fourth Proportional to 2,588.85, 3,884.43 and 1,355.97

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Solution

The fourth proportional to 2,588.85, 3,884.43 and 1,355.97 is: 2,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.85 : 3,884.43 = 1,355.97 : x
  2. Step 2: Convert to fraction form
    2,588.85/3,884.43 = 1,355.97/x
  3. Step 3: Cross multiply
    2,588.85x = 3,884.43 × 1,355.97
  4. Step 4: Simplify right side
    2,588.85x = 5,267,186.38
  5. Step 5: Solve for x
    x = 5,267,186.38/2,588.85
  6. Step 6: Final answer
    x = 2,034.56

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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.