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Finding the Fourth Proportional to 2,111.32, 3,168.30 and 812.92

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Solution

The fourth proportional to 2,111.32, 3,168.30 and 812.92 is: 1,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.32 : 3,168.30 = 812.92 : x
  2. Step 2: Convert to fraction form
    2,111.32/3,168.30 = 812.92/x
  3. Step 3: Cross multiply
    2,111.32x = 3,168.30 × 812.92
  4. Step 4: Simplify right side
    2,111.32x = 2,575,574.44
  5. Step 5: Solve for x
    x = 2,575,574.44/2,111.32
  6. Step 6: Final answer
    x = 1,219.89

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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.