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Finding the Fourth Proportional to 2,327.73, 3,491.73 and 1,029.20

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Solution

The fourth proportional to 2,327.73, 3,491.73 and 1,029.20 is: 1,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.73 : 3,491.73 = 1,029.20 : x
  2. Step 2: Convert to fraction form
    2,327.73/3,491.73 = 1,029.20/x
  3. Step 3: Cross multiply
    2,327.73x = 3,491.73 × 1,029.20
  4. Step 4: Simplify right side
    2,327.73x = 3,593,671.06
  5. Step 5: Solve for x
    x = 3,593,671.06/2,327.73
  6. Step 6: Final answer
    x = 1,543.85

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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.