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Finding the Fourth Proportional to 2,965.32, 4,092.64 and 2,834.10

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Solution

The fourth proportional to 2,965.32, 4,092.64 and 2,834.10 is: 3,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.32 : 4,092.64 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    2,965.32/4,092.64 = 2,834.10/x
  3. Step 3: Cross multiply
    2,965.32x = 4,092.64 × 2,834.10
  4. Step 4: Simplify right side
    2,965.32x = 11,598,951.02
  5. Step 5: Solve for x
    x = 11,598,951.02/2,965.32
  6. Step 6: Final answer
    x = 3,911.53

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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.