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Finding the Fourth Proportional to 2,194.08, 3,291.84 and 896.16

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Solution

The fourth proportional to 2,194.08, 3,291.84 and 896.16 is: 1,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.08 : 3,291.84 = 896.16 : x
  2. Step 2: Convert to fraction form
    2,194.08/3,291.84 = 896.16/x
  3. Step 3: Cross multiply
    2,194.08x = 3,291.84 × 896.16
  4. Step 4: Simplify right side
    2,194.08x = 2,950,015.33
  5. Step 5: Solve for x
    x = 2,950,015.33/2,194.08
  6. Step 6: Final answer
    x = 1,344.53

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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.