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Finding the Fourth Proportional to 2,086.08, 3,127.41 and 915.23

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Solution

The fourth proportional to 2,086.08, 3,127.41 and 915.23 is: 1,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.08 : 3,127.41 = 915.23 : x
  2. Step 2: Convert to fraction form
    2,086.08/3,127.41 = 915.23/x
  3. Step 3: Cross multiply
    2,086.08x = 3,127.41 × 915.23
  4. Step 4: Simplify right side
    2,086.08x = 2,862,283.82
  5. Step 5: Solve for x
    x = 2,862,283.82/2,086.08
  6. Step 6: Final answer
    x = 1,372.09

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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.