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Finding the Fourth Proportional to 2,153.72, 3,230.60 and 855.19

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Solution

The fourth proportional to 2,153.72, 3,230.60 and 855.19 is: 1,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.72 : 3,230.60 = 855.19 : x
  2. Step 2: Convert to fraction form
    2,153.72/3,230.60 = 855.19/x
  3. Step 3: Cross multiply
    2,153.72x = 3,230.60 × 855.19
  4. Step 4: Simplify right side
    2,153.72x = 2,762,776.58
  5. Step 5: Solve for x
    x = 2,762,776.58/2,153.72
  6. Step 6: Final answer
    x = 1,282.79

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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.