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Finding the Fourth Proportional to 2,112.54, 2,915.08 and 1,228.29

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Solution

The fourth proportional to 2,112.54, 2,915.08 and 1,228.29 is: 1,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.54 : 2,915.08 = 1,228.29 : x
  2. Step 2: Convert to fraction form
    2,112.54/2,915.08 = 1,228.29/x
  3. Step 3: Cross multiply
    2,112.54x = 2,915.08 × 1,228.29
  4. Step 4: Simplify right side
    2,112.54x = 3,580,563.61
  5. Step 5: Solve for x
    x = 3,580,563.61/2,112.54
  6. Step 6: Final answer
    x = 1,694.91

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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.