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Finding the Fourth Proportional to 2,112.45, 2,915.13 and 1,168.22

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Solution

The fourth proportional to 2,112.45, 2,915.13 and 1,168.22 is: 1,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.45 : 2,915.13 = 1,168.22 : x
  2. Step 2: Convert to fraction form
    2,112.45/2,915.13 = 1,168.22/x
  3. Step 3: Cross multiply
    2,112.45x = 2,915.13 × 1,168.22
  4. Step 4: Simplify right side
    2,112.45x = 3,405,498.59
  5. Step 5: Solve for x
    x = 3,405,498.59/2,112.45
  6. Step 6: Final answer
    x = 1,612.11

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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.