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Finding the Fourth Proportional to 2,269.33, 3,404.00 and 1,984.21

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Solution

The fourth proportional to 2,269.33, 3,404.00 and 1,984.21 is: 2,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.33 : 3,404.00 = 1,984.21 : x
  2. Step 2: Convert to fraction form
    2,269.33/3,404.00 = 1,984.21/x
  3. Step 3: Cross multiply
    2,269.33x = 3,404.00 × 1,984.21
  4. Step 4: Simplify right side
    2,269.33x = 6,754,240.92
  5. Step 5: Solve for x
    x = 6,754,240.92/2,269.33
  6. Step 6: Final answer
    x = 2,976.32

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Similar ratio
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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.