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Finding the Fourth Proportional to 2,327.92, 3,491.79 and 788.92

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Solution

The fourth proportional to 2,327.92, 3,491.79 and 788.92 is: 1,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.92 : 3,491.79 = 788.92 : x
  2. Step 2: Convert to fraction form
    2,327.92/3,491.79 = 788.92/x
  3. Step 3: Cross multiply
    2,327.92x = 3,491.79 × 788.92
  4. Step 4: Simplify right side
    2,327.92x = 2,754,742.97
  5. Step 5: Solve for x
    x = 2,754,742.97/2,327.92
  6. Step 6: Final answer
    x = 1,183.35

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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.