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Finding the Fourth Proportional to 2,306.72, 3,460.05 and 663.27

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Solution

The fourth proportional to 2,306.72, 3,460.05 and 663.27 is: 994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.72 : 3,460.05 = 663.27 : x
  2. Step 2: Convert to fraction form
    2,306.72/3,460.05 = 663.27/x
  3. Step 3: Cross multiply
    2,306.72x = 3,460.05 × 663.27
  4. Step 4: Simplify right side
    2,306.72x = 2,294,947.36
  5. Step 5: Solve for x
    x = 2,294,947.36/2,306.72
  6. Step 6: Final answer
    x = 994.90

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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.