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Finding the Fourth Proportional to 2,195.82, 3,294.95 and 897.19

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Solution

The fourth proportional to 2,195.82, 3,294.95 and 897.19 is: 1,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.82 : 3,294.95 = 897.19 : x
  2. Step 2: Convert to fraction form
    2,195.82/3,294.95 = 897.19/x
  3. Step 3: Cross multiply
    2,195.82x = 3,294.95 × 897.19
  4. Step 4: Simplify right side
    2,195.82x = 2,956,196.19
  5. Step 5: Solve for x
    x = 2,956,196.19/2,195.82
  6. Step 6: Final answer
    x = 1,346.28

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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.