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Finding the Fourth Proportional to 2,561.87, 3,535.32 and 1,427.55

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Solution

The fourth proportional to 2,561.87, 3,535.32 and 1,427.55 is: 1,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.87 : 3,535.32 = 1,427.55 : x
  2. Step 2: Convert to fraction form
    2,561.87/3,535.32 = 1,427.55/x
  3. Step 3: Cross multiply
    2,561.87x = 3,535.32 × 1,427.55
  4. Step 4: Simplify right side
    2,561.87x = 5,046,844.57
  5. Step 5: Solve for x
    x = 5,046,844.57/2,561.87
  6. Step 6: Final answer
    x = 1,969.99

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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.