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Finding the Fourth Proportional to 2,296.59, 3,169.24 and 1,339.68

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Solution

The fourth proportional to 2,296.59, 3,169.24 and 1,339.68 is: 1,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.59 : 3,169.24 = 1,339.68 : x
  2. Step 2: Convert to fraction form
    2,296.59/3,169.24 = 1,339.68/x
  3. Step 3: Cross multiply
    2,296.59x = 3,169.24 × 1,339.68
  4. Step 4: Simplify right side
    2,296.59x = 4,245,767.44
  5. Step 5: Solve for x
    x = 4,245,767.44/2,296.59
  6. Step 6: Final answer
    x = 1,848.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.