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Finding the Fourth Proportional to 2,196.57, 3,294.85 and 553.24

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Solution

The fourth proportional to 2,196.57, 3,294.85 and 553.24 is: 829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.57 : 3,294.85 = 553.24 : x
  2. Step 2: Convert to fraction form
    2,196.57/3,294.85 = 553.24/x
  3. Step 3: Cross multiply
    2,196.57x = 3,294.85 × 553.24
  4. Step 4: Simplify right side
    2,196.57x = 1,822,852.78
  5. Step 5: Solve for x
    x = 1,822,852.78/2,196.57
  6. Step 6: Final answer
    x = 829.86

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Double scale
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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.