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Finding the Fourth Proportional to 2,112.48, 2,915.19 and 1,228.23

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Solution

The fourth proportional to 2,112.48, 2,915.19 and 1,228.23 is: 1,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.48 : 2,915.19 = 1,228.23 : x
  2. Step 2: Convert to fraction form
    2,112.48/2,915.19 = 1,228.23/x
  3. Step 3: Cross multiply
    2,112.48x = 2,915.19 × 1,228.23
  4. Step 4: Simplify right side
    2,112.48x = 3,580,523.81
  5. Step 5: Solve for x
    x = 3,580,523.81/2,112.48
  6. Step 6: Final answer
    x = 1,694.94

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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.