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Finding the Fourth Proportional to 2,561.98, 3,535.25 and 1,442.89

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Solution

The fourth proportional to 2,561.98, 3,535.25 and 1,442.89 is: 1,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.98 : 3,535.25 = 1,442.89 : x
  2. Step 2: Convert to fraction form
    2,561.98/3,535.25 = 1,442.89/x
  3. Step 3: Cross multiply
    2,561.98x = 3,535.25 × 1,442.89
  4. Step 4: Simplify right side
    2,561.98x = 5,100,976.87
  5. Step 5: Solve for x
    x = 5,100,976.87/2,561.98
  6. Step 6: Final answer
    x = 1,991.03

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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.