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Finding the Fourth Proportional to 2,266.48, 3,401.19 and 805.65

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Solution

The fourth proportional to 2,266.48, 3,401.19 and 805.65 is: 1,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.48 : 3,401.19 = 805.65 : x
  2. Step 2: Convert to fraction form
    2,266.48/3,401.19 = 805.65/x
  3. Step 3: Cross multiply
    2,266.48x = 3,401.19 × 805.65
  4. Step 4: Simplify right side
    2,266.48x = 2,740,155.97
  5. Step 5: Solve for x
    x = 2,740,155.97/2,266.48
  6. Step 6: Final answer
    x = 1,208.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.