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Finding the Fourth Proportional to 2,915.70, 4,023.62 and 1,589.38

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Solution

The fourth proportional to 2,915.70, 4,023.62 and 1,589.38 is: 2,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.70 : 4,023.62 = 1,589.38 : x
  2. Step 2: Convert to fraction form
    2,915.70/4,023.62 = 1,589.38/x
  3. Step 3: Cross multiply
    2,915.70x = 4,023.62 × 1,589.38
  4. Step 4: Simplify right side
    2,915.70x = 6,395,061.16
  5. Step 5: Solve for x
    x = 6,395,061.16/2,915.70
  6. Step 6: Final answer
    x = 2,193.32

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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.