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Finding the Fourth Proportional to 2,915.80, 4,023.82 and 1,589.50

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Solution

The fourth proportional to 2,915.80, 4,023.82 and 1,589.50 is: 2,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.80 : 4,023.82 = 1,589.50 : x
  2. Step 2: Convert to fraction form
    2,915.80/4,023.82 = 1,589.50/x
  3. Step 3: Cross multiply
    2,915.80x = 4,023.82 × 1,589.50
  4. Step 4: Simplify right side
    2,915.80x = 6,395,886.96
  5. Step 5: Solve for x
    x = 6,395,886.96/2,915.80
  6. Step 6: Final answer
    x = 2,193.53

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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.