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Finding the Fourth Proportional to 3,268.34, 4,902.50 and 1,320.52

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Solution

The fourth proportional to 3,268.34, 4,902.50 and 1,320.52 is: 1,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.34 : 4,902.50 = 1,320.52 : x
  2. Step 2: Convert to fraction form
    3,268.34/4,902.50 = 1,320.52/x
  3. Step 3: Cross multiply
    3,268.34x = 4,902.50 × 1,320.52
  4. Step 4: Simplify right side
    3,268.34x = 6,473,849.30
  5. Step 5: Solve for x
    x = 6,473,849.30/3,268.34
  6. Step 6: Final answer
    x = 1,980.78

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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.