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Finding the Fourth Proportional to 3,009.74, 4,144.39 and 2,834.38

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Solution

The fourth proportional to 3,009.74, 4,144.39 and 2,834.38 is: 3,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.74 : 4,144.39 = 2,834.38 : x
  2. Step 2: Convert to fraction form
    3,009.74/4,144.39 = 2,834.38/x
  3. Step 3: Cross multiply
    3,009.74x = 4,144.39 × 2,834.38
  4. Step 4: Simplify right side
    3,009.74x = 11,746,776.13
  5. Step 5: Solve for x
    x = 11,746,776.13/3,009.74
  6. Step 6: Final answer
    x = 3,902.92

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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.