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Finding the Fourth Proportional to 2,949.05, 4,065.41 and 2,062.10

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Solution

The fourth proportional to 2,949.05, 4,065.41 and 2,062.10 is: 2,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.05 : 4,065.41 = 2,062.10 : x
  2. Step 2: Convert to fraction form
    2,949.05/4,065.41 = 2,062.10/x
  3. Step 3: Cross multiply
    2,949.05x = 4,065.41 × 2,062.10
  4. Step 4: Simplify right side
    2,949.05x = 8,383,266.64
  5. Step 5: Solve for x
    x = 8,383,266.64/2,949.05
  6. Step 6: Final answer
    x = 2,842.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.