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Finding the Fourth Proportional to 2,112.81, 2,915.62 and 1,168.66

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Solution

The fourth proportional to 2,112.81, 2,915.62 and 1,168.66 is: 1,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.81 : 2,915.62 = 1,168.66 : x
  2. Step 2: Convert to fraction form
    2,112.81/2,915.62 = 1,168.66/x
  3. Step 3: Cross multiply
    2,112.81x = 2,915.62 × 1,168.66
  4. Step 4: Simplify right side
    2,112.81x = 3,407,368.47
  5. Step 5: Solve for x
    x = 3,407,368.47/2,112.81
  6. Step 6: Final answer
    x = 1,612.72

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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.