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Finding the Fourth Proportional to 2,327.87, 3,493.86 and 1,962.91

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Solution

The fourth proportional to 2,327.87, 3,493.86 and 1,962.91 is: 2,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.87 : 3,493.86 = 1,962.91 : x
  2. Step 2: Convert to fraction form
    2,327.87/3,493.86 = 1,962.91/x
  3. Step 3: Cross multiply
    2,327.87x = 3,493.86 × 1,962.91
  4. Step 4: Simplify right side
    2,327.87x = 6,858,129.74
  5. Step 5: Solve for x
    x = 6,858,129.74/2,327.87
  6. Step 6: Final answer
    x = 2,946.09

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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.