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Finding the Fourth Proportional to 2,112.68, 2,915.54 and 1,228.57

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Solution

The fourth proportional to 2,112.68, 2,915.54 and 1,228.57 is: 1,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.68 : 2,915.54 = 1,228.57 : x
  2. Step 2: Convert to fraction form
    2,112.68/2,915.54 = 1,228.57/x
  3. Step 3: Cross multiply
    2,112.68x = 2,915.54 × 1,228.57
  4. Step 4: Simplify right side
    2,112.68x = 3,581,943.06
  5. Step 5: Solve for x
    x = 3,581,943.06/2,112.68
  6. Step 6: Final answer
    x = 1,695.45

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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.