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Finding the Fourth Proportional to 2,561.77, 3,535.53 and 1,442.74

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Solution

The fourth proportional to 2,561.77, 3,535.53 and 1,442.74 is: 1,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.77 : 3,535.53 = 1,442.74 : x
  2. Step 2: Convert to fraction form
    2,561.77/3,535.53 = 1,442.74/x
  3. Step 3: Cross multiply
    2,561.77x = 3,535.53 × 1,442.74
  4. Step 4: Simplify right side
    2,561.77x = 5,100,850.55
  5. Step 5: Solve for x
    x = 5,100,850.55/2,561.77
  6. Step 6: Final answer
    x = 1,991.14

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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.