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Finding the Fourth Proportional to 2,112.97, 2,915.91 and 1,181.47

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Solution

The fourth proportional to 2,112.97, 2,915.91 and 1,181.47 is: 1,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.97 : 2,915.91 = 1,181.47 : x
  2. Step 2: Convert to fraction form
    2,112.97/2,915.91 = 1,181.47/x
  3. Step 3: Cross multiply
    2,112.97x = 2,915.91 × 1,181.47
  4. Step 4: Simplify right side
    2,112.97x = 3,445,045.61
  5. Step 5: Solve for x
    x = 3,445,045.61/2,112.97
  6. Step 6: Final answer
    x = 1,630.43

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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.