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Finding the Fourth Proportional to 2,915.76, 4,023.77 and 1,589.46

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Solution

The fourth proportional to 2,915.76, 4,023.77 and 1,589.46 is: 2,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.76 : 4,023.77 = 1,589.46 : x
  2. Step 2: Convert to fraction form
    2,915.76/4,023.77 = 1,589.46/x
  3. Step 3: Cross multiply
    2,915.76x = 4,023.77 × 1,589.46
  4. Step 4: Simplify right side
    2,915.76x = 6,395,613.52
  5. Step 5: Solve for x
    x = 6,395,613.52/2,915.76
  6. Step 6: Final answer
    x = 2,193.46

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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.