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Finding the Fourth Proportional to 2,112.71, 2,915.75 and 1,168.57

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Solution

The fourth proportional to 2,112.71, 2,915.75 and 1,168.57 is: 1,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.71 : 2,915.75 = 1,168.57 : x
  2. Step 2: Convert to fraction form
    2,112.71/2,915.75 = 1,168.57/x
  3. Step 3: Cross multiply
    2,112.71x = 2,915.75 × 1,168.57
  4. Step 4: Simplify right side
    2,112.71x = 3,407,252.13
  5. Step 5: Solve for x
    x = 3,407,252.13/2,112.71
  6. Step 6: Final answer
    x = 1,612.74

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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.