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Finding the Fourth Proportional to 2,915.70, 4,023.54 and 1,589.34

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Solution

The fourth proportional to 2,915.70, 4,023.54 and 1,589.34 is: 2,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.70 : 4,023.54 = 1,589.34 : x
  2. Step 2: Convert to fraction form
    2,915.70/4,023.54 = 1,589.34/x
  3. Step 3: Cross multiply
    2,915.70x = 4,023.54 × 1,589.34
  4. Step 4: Simplify right side
    2,915.70x = 6,394,773.06
  5. Step 5: Solve for x
    x = 6,394,773.06/2,915.70
  6. Step 6: Final answer
    x = 2,193.22

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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.