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Finding the Fourth Proportional to 2,915.68, 4,023.64 and 1,589.38

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Solution

The fourth proportional to 2,915.68, 4,023.64 and 1,589.38 is: 2,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.68 : 4,023.64 = 1,589.38 : x
  2. Step 2: Convert to fraction form
    2,915.68/4,023.64 = 1,589.38/x
  3. Step 3: Cross multiply
    2,915.68x = 4,023.64 × 1,589.38
  4. Step 4: Simplify right side
    2,915.68x = 6,395,092.94
  5. Step 5: Solve for x
    x = 6,395,092.94/2,915.68
  6. Step 6: Final answer
    x = 2,193.35

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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.