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Finding the Fourth Proportional to 2,112.80, 2,915.60 and 1,168.65

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Solution

The fourth proportional to 2,112.80, 2,915.60 and 1,168.65 is: 1,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.80 : 2,915.60 = 1,168.65 : x
  2. Step 2: Convert to fraction form
    2,112.80/2,915.60 = 1,168.65/x
  3. Step 3: Cross multiply
    2,112.80x = 2,915.60 × 1,168.65
  4. Step 4: Simplify right side
    2,112.80x = 3,407,310.10
  5. Step 5: Solve for x
    x = 3,407,310.10/2,112.80
  6. Step 6: Final answer
    x = 1,612.70

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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.