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Finding the Fourth Proportional to 1,735.29, 2,601.18 and 867.78

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Solution

The fourth proportional to 1,735.29, 2,601.18 and 867.78 is: 1,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.29 : 2,601.18 = 867.78 : x
  2. Step 2: Convert to fraction form
    1,735.29/2,601.18 = 867.78/x
  3. Step 3: Cross multiply
    1,735.29x = 2,601.18 × 867.78
  4. Step 4: Simplify right side
    1,735.29x = 2,257,251.98
  5. Step 5: Solve for x
    x = 2,257,251.98/1,735.29
  6. Step 6: Final answer
    x = 1,300.79

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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.