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Finding the Fourth Proportional to 2,111.62, 3,168.18 and 812.74

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Solution

The fourth proportional to 2,111.62, 3,168.18 and 812.74 is: 1,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.62 : 3,168.18 = 812.74 : x
  2. Step 2: Convert to fraction form
    2,111.62/3,168.18 = 812.74/x
  3. Step 3: Cross multiply
    2,111.62x = 3,168.18 × 812.74
  4. Step 4: Simplify right side
    2,111.62x = 2,574,906.61
  5. Step 5: Solve for x
    x = 2,574,906.61/2,111.62
  6. Step 6: Final answer
    x = 1,219.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.