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Finding the Fourth Proportional to 1,868.52, 2,578.62 and 1,160.75

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Solution

The fourth proportional to 1,868.52, 2,578.62 and 1,160.75 is: 1,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.52 : 2,578.62 = 1,160.75 : x
  2. Step 2: Convert to fraction form
    1,868.52/2,578.62 = 1,160.75/x
  3. Step 3: Cross multiply
    1,868.52x = 2,578.62 × 1,160.75
  4. Step 4: Simplify right side
    1,868.52x = 2,993,133.17
  5. Step 5: Solve for x
    x = 2,993,133.17/1,868.52
  6. Step 6: Final answer
    x = 1,601.88

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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.