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Finding the Fourth Proportional to 2,178.38, 3,268.05 and 1,023.50

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Solution

The fourth proportional to 2,178.38, 3,268.05 and 1,023.50 is: 1,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.38 : 3,268.05 = 1,023.50 : x
  2. Step 2: Convert to fraction form
    2,178.38/3,268.05 = 1,023.50/x
  3. Step 3: Cross multiply
    2,178.38x = 3,268.05 × 1,023.50
  4. Step 4: Simplify right side
    2,178.38x = 3,344,849.18
  5. Step 5: Solve for x
    x = 3,344,849.18/2,178.38
  6. Step 6: Final answer
    x = 1,535.48

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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.