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Finding the Fourth Proportional to 2,266.29, 3,398.04 and 805.59

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Solution

The fourth proportional to 2,266.29, 3,398.04 and 805.59 is: 1,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.29 : 3,398.04 = 805.59 : x
  2. Step 2: Convert to fraction form
    2,266.29/3,398.04 = 805.59/x
  3. Step 3: Cross multiply
    2,266.29x = 3,398.04 × 805.59
  4. Step 4: Simplify right side
    2,266.29x = 2,737,427.04
  5. Step 5: Solve for x
    x = 2,737,427.04/2,266.29
  6. Step 6: Final answer
    x = 1,207.89

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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.