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Finding the Fourth Proportional to 2,306.71, 3,460.01 and 663.26

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Solution

The fourth proportional to 2,306.71, 3,460.01 and 663.26 is: 994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.71 : 3,460.01 = 663.26 : x
  2. Step 2: Convert to fraction form
    2,306.71/3,460.01 = 663.26/x
  3. Step 3: Cross multiply
    2,306.71x = 3,460.01 × 663.26
  4. Step 4: Simplify right side
    2,306.71x = 2,294,891.57
  5. Step 5: Solve for x
    x = 2,294,891.57/2,306.71
  6. Step 6: Final answer
    x = 994.88

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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.