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Finding the Fourth Proportional to 2,197.67, 3,296.49 and 899.14

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Solution

The fourth proportional to 2,197.67, 3,296.49 and 899.14 is: 1,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.67 : 3,296.49 = 899.14 : x
  2. Step 2: Convert to fraction form
    2,197.67/3,296.49 = 899.14/x
  3. Step 3: Cross multiply
    2,197.67x = 3,296.49 × 899.14
  4. Step 4: Simplify right side
    2,197.67x = 2,963,989.54
  5. Step 5: Solve for x
    x = 2,963,989.54/2,197.67
  6. Step 6: Final answer
    x = 1,348.70

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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.