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Finding the Fourth Proportional to 1,592.73, 2,389.49 and 861.30

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Solution

The fourth proportional to 1,592.73, 2,389.49 and 861.30 is: 1,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.73 : 2,389.49 = 861.30 : x
  2. Step 2: Convert to fraction form
    1,592.73/2,389.49 = 861.30/x
  3. Step 3: Cross multiply
    1,592.73x = 2,389.49 × 861.30
  4. Step 4: Simplify right side
    1,592.73x = 2,058,063.43
  5. Step 5: Solve for x
    x = 2,058,063.43/1,592.73
  6. Step 6: Final answer
    x = 1,292.16

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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.