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Finding the Fourth Proportional to 2,559.28, 3,839.30 and 915.44

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Solution

The fourth proportional to 2,559.28, 3,839.30 and 915.44 is: 1,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.28 : 3,839.30 = 915.44 : x
  2. Step 2: Convert to fraction form
    2,559.28/3,839.30 = 915.44/x
  3. Step 3: Cross multiply
    2,559.28x = 3,839.30 × 915.44
  4. Step 4: Simplify right side
    2,559.28x = 3,514,648.79
  5. Step 5: Solve for x
    x = 3,514,648.79/2,559.28
  6. Step 6: Final answer
    x = 1,373.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.