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Finding the Fourth Proportional to 3,641.44, 5,463.72 and 2,081.20

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Solution

The fourth proportional to 3,641.44, 5,463.72 and 2,081.20 is: 3,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.44 : 5,463.72 = 2,081.20 : x
  2. Step 2: Convert to fraction form
    3,641.44/5,463.72 = 2,081.20/x
  3. Step 3: Cross multiply
    3,641.44x = 5,463.72 × 2,081.20
  4. Step 4: Simplify right side
    3,641.44x = 11,371,094.06
  5. Step 5: Solve for x
    x = 11,371,094.06/3,641.44
  6. Step 6: Final answer
    x = 3,122.69

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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.