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Finding the Fourth Proportional to 2,304.40, 3,456.76 and 660.96

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Solution

The fourth proportional to 2,304.40, 3,456.76 and 660.96 is: 991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.40 : 3,456.76 = 660.96 : x
  2. Step 2: Convert to fraction form
    2,304.40/3,456.76 = 660.96/x
  3. Step 3: Cross multiply
    2,304.40x = 3,456.76 × 660.96
  4. Step 4: Simplify right side
    2,304.40x = 2,284,780.09
  5. Step 5: Solve for x
    x = 2,284,780.09/2,304.40
  6. Step 6: Final answer
    x = 991.49

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1.5x scale

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.