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Finding the Fourth Proportional to 1,758.87, 2,641.71 and 1,294.82

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Solution

The fourth proportional to 1,758.87, 2,641.71 and 1,294.82 is: 1,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.87 : 2,641.71 = 1,294.82 : x
  2. Step 2: Convert to fraction form
    1,758.87/2,641.71 = 1,294.82/x
  3. Step 3: Cross multiply
    1,758.87x = 2,641.71 × 1,294.82
  4. Step 4: Simplify right side
    1,758.87x = 3,420,525.73
  5. Step 5: Solve for x
    x = 3,420,525.73/1,758.87
  6. Step 6: Final answer
    x = 1,944.73

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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.