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Finding the Fourth Proportional to 3,394.48, 5,093.52 and 1,641.64

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Solution

The fourth proportional to 3,394.48, 5,093.52 and 1,641.64 is: 2,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.48 : 5,093.52 = 1,641.64 : x
  2. Step 2: Convert to fraction form
    3,394.48/5,093.52 = 1,641.64/x
  3. Step 3: Cross multiply
    3,394.48x = 5,093.52 × 1,641.64
  4. Step 4: Simplify right side
    3,394.48x = 8,361,726.17
  5. Step 5: Solve for x
    x = 8,361,726.17/3,394.48
  6. Step 6: Final answer
    x = 2,463.33

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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.