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Finding the Fourth Proportional to 1,789.33, 2,463.87 and 1,587.28

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Solution

The fourth proportional to 1,789.33, 2,463.87 and 1,587.28 is: 2,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.33 : 2,463.87 = 1,587.28 : x
  2. Step 2: Convert to fraction form
    1,789.33/2,463.87 = 1,587.28/x
  3. Step 3: Cross multiply
    1,789.33x = 2,463.87 × 1,587.28
  4. Step 4: Simplify right side
    1,789.33x = 3,910,851.57
  5. Step 5: Solve for x
    x = 3,910,851.57/1,789.33
  6. Step 6: Final answer
    x = 2,185.65

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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.