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Finding the Fourth Proportional to 2,896.74, 3,997.65 and 1,834.11

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Solution

The fourth proportional to 2,896.74, 3,997.65 and 1,834.11 is: 2,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.74 : 3,997.65 = 1,834.11 : x
  2. Step 2: Convert to fraction form
    2,896.74/3,997.65 = 1,834.11/x
  3. Step 3: Cross multiply
    2,896.74x = 3,997.65 × 1,834.11
  4. Step 4: Simplify right side
    2,896.74x = 7,332,129.84
  5. Step 5: Solve for x
    x = 7,332,129.84/2,896.74
  6. Step 6: Final answer
    x = 2,531.17

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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.