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Finding the Fourth Proportional to 1,747.00, 2,619.55 and 867.57

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Solution

The fourth proportional to 1,747.00, 2,619.55 and 867.57 is: 1,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.00 : 2,619.55 = 867.57 : x
  2. Step 2: Convert to fraction form
    1,747.00/2,619.55 = 867.57/x
  3. Step 3: Cross multiply
    1,747.00x = 2,619.55 × 867.57
  4. Step 4: Simplify right side
    1,747.00x = 2,272,640.82
  5. Step 5: Solve for x
    x = 2,272,640.82/1,747.00
  6. Step 6: Final answer
    x = 1,300.88

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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.