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Finding the Fourth Proportional to 1,589.47, 2,193.82 and 1,000.80

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Solution

The fourth proportional to 1,589.47, 2,193.82 and 1,000.80 is: 1,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.47 : 2,193.82 = 1,000.80 : x
  2. Step 2: Convert to fraction form
    1,589.47/2,193.82 = 1,000.80/x
  3. Step 3: Cross multiply
    1,589.47x = 2,193.82 × 1,000.80
  4. Step 4: Simplify right side
    1,589.47x = 2,195,572.55
  5. Step 5: Solve for x
    x = 2,195,572.55/1,589.47
  6. Step 6: Final answer
    x = 1,381.33

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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.