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Finding the Fourth Proportional to 1,789.28, 2,683.50 and 864.26

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Solution

The fourth proportional to 1,789.28, 2,683.50 and 864.26 is: 1,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.28 : 2,683.50 = 864.26 : x
  2. Step 2: Convert to fraction form
    1,789.28/2,683.50 = 864.26/x
  3. Step 3: Cross multiply
    1,789.28x = 2,683.50 × 864.26
  4. Step 4: Simplify right side
    1,789.28x = 2,319,228.29
  5. Step 5: Solve for x
    x = 2,319,228.29/1,789.28
  6. Step 6: Final answer
    x = 1,296.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.