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Finding the Fourth Proportional to 2,526.39, 3,789.99 and 966.33

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Solution

The fourth proportional to 2,526.39, 3,789.99 and 966.33 is: 1,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.39 : 3,789.99 = 966.33 : x
  2. Step 2: Convert to fraction form
    2,526.39/3,789.99 = 966.33/x
  3. Step 3: Cross multiply
    2,526.39x = 3,789.99 × 966.33
  4. Step 4: Simplify right side
    2,526.39x = 3,662,381.04
  5. Step 5: Solve for x
    x = 3,662,381.04/2,526.39
  6. Step 6: Final answer
    x = 1,449.65

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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.