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Finding the Fourth Proportional to 2,915.90, 4,024 and 1,589.64

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Solution

The fourth proportional to 2,915.90, 4,024 and 1,589.64 is: 2,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.90 : 4,024 = 1,589.64 : x
  2. Step 2: Convert to fraction form
    2,915.90/4,024 = 1,589.64/x
  3. Step 3: Cross multiply
    2,915.90x = 4,024 × 1,589.64
  4. Step 4: Simplify right side
    2,915.90x = 6,396,711.36
  5. Step 5: Solve for x
    x = 6,396,711.36/2,915.90
  6. Step 6: Final answer
    x = 2,193.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.