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Finding the Fourth Proportional to 2,062.16, 2,826.72 and 2,034.48

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Solution

The fourth proportional to 2,062.16, 2,826.72 and 2,034.48 is: 2,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.16 : 2,826.72 = 2,034.48 : x
  2. Step 2: Convert to fraction form
    2,062.16/2,826.72 = 2,034.48/x
  3. Step 3: Cross multiply
    2,062.16x = 2,826.72 × 2,034.48
  4. Step 4: Simplify right side
    2,062.16x = 5,750,905.31
  5. Step 5: Solve for x
    x = 5,750,905.31/2,062.16
  6. Step 6: Final answer
    x = 2,788.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.