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Finding the Fourth Proportional to 2,865.59, 3,954.45 and 1,589.47

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Solution

The fourth proportional to 2,865.59, 3,954.45 and 1,589.47 is: 2,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.59 : 3,954.45 = 1,589.47 : x
  2. Step 2: Convert to fraction form
    2,865.59/3,954.45 = 1,589.47/x
  3. Step 3: Cross multiply
    2,865.59x = 3,954.45 × 1,589.47
  4. Step 4: Simplify right side
    2,865.59x = 6,285,466.78
  5. Step 5: Solve for x
    x = 6,285,466.78/2,865.59
  6. Step 6: Final answer
    x = 2,193.43

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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.