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Finding the Fourth Proportional to 2,266.56, 3,397.41 and 805.23

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Solution

The fourth proportional to 2,266.56, 3,397.41 and 805.23 is: 1,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.56 : 3,397.41 = 805.23 : x
  2. Step 2: Convert to fraction form
    2,266.56/3,397.41 = 805.23/x
  3. Step 3: Cross multiply
    2,266.56x = 3,397.41 × 805.23
  4. Step 4: Simplify right side
    2,266.56x = 2,735,696.45
  5. Step 5: Solve for x
    x = 2,735,696.45/2,266.56
  6. Step 6: Final answer
    x = 1,206.98

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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.