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Finding the Fourth Proportional to 2,292.96, 3,441.04 and 993.76

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Solution

The fourth proportional to 2,292.96, 3,441.04 and 993.76 is: 1,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.96 : 3,441.04 = 993.76 : x
  2. Step 2: Convert to fraction form
    2,292.96/3,441.04 = 993.76/x
  3. Step 3: Cross multiply
    2,292.96x = 3,441.04 × 993.76
  4. Step 4: Simplify right side
    2,292.96x = 3,419,567.91
  5. Step 5: Solve for x
    x = 3,419,567.91/2,292.96
  6. Step 6: Final answer
    x = 1,491.33

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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.