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Finding the Fourth Proportional to 2,062.76, 3,092.94 and 1,368.68

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Solution

The fourth proportional to 2,062.76, 3,092.94 and 1,368.68 is: 2,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.76 : 3,092.94 = 1,368.68 : x
  2. Step 2: Convert to fraction form
    2,062.76/3,092.94 = 1,368.68/x
  3. Step 3: Cross multiply
    2,062.76x = 3,092.94 × 1,368.68
  4. Step 4: Simplify right side
    2,062.76x = 4,233,245.12
  5. Step 5: Solve for x
    x = 4,233,245.12/2,062.76
  6. Step 6: Final answer
    x = 2,052.22

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Why These Related Problems?

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