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Finding the Fourth Proportional to 3,641.96, 5,454.22 and 2,098.28

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Solution

The fourth proportional to 3,641.96, 5,454.22 and 2,098.28 is: 3,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.96 : 5,454.22 = 2,098.28 : x
  2. Step 2: Convert to fraction form
    3,641.96/5,454.22 = 2,098.28/x
  3. Step 3: Cross multiply
    3,641.96x = 5,454.22 × 2,098.28
  4. Step 4: Simplify right side
    3,641.96x = 11,444,480.74
  5. Step 5: Solve for x
    x = 11,444,480.74/3,641.96
  6. Step 6: Final answer
    x = 3,142.40

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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.