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Finding the Fourth Proportional to 2,112.93, 2,915.13 and 1,228.41

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Solution

The fourth proportional to 2,112.93, 2,915.13 and 1,228.41 is: 1,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.93 : 2,915.13 = 1,228.41 : x
  2. Step 2: Convert to fraction form
    2,112.93/2,915.13 = 1,228.41/x
  3. Step 3: Cross multiply
    2,112.93x = 2,915.13 × 1,228.41
  4. Step 4: Simplify right side
    2,112.93x = 3,580,974.84
  5. Step 5: Solve for x
    x = 3,580,974.84/2,112.93
  6. Step 6: Final answer
    x = 1,694.79

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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.