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Finding the Fourth Proportional to 2,535.79, 3,508.98 and 2,162.18

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Solution

The fourth proportional to 2,535.79, 3,508.98 and 2,162.18 is: 2,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.79 : 3,508.98 = 2,162.18 : x
  2. Step 2: Convert to fraction form
    2,535.79/3,508.98 = 2,162.18/x
  3. Step 3: Cross multiply
    2,535.79x = 3,508.98 × 2,162.18
  4. Step 4: Simplify right side
    2,535.79x = 7,587,046.38
  5. Step 5: Solve for x
    x = 7,587,046.38/2,535.79
  6. Step 6: Final answer
    x = 2,991.99

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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.