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Finding the Fourth Proportional to 2,266.07, 3,398.69 and 949.47

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Solution

The fourth proportional to 2,266.07, 3,398.69 and 949.47 is: 1,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.07 : 3,398.69 = 949.47 : x
  2. Step 2: Convert to fraction form
    2,266.07/3,398.69 = 949.47/x
  3. Step 3: Cross multiply
    2,266.07x = 3,398.69 × 949.47
  4. Step 4: Simplify right side
    2,266.07x = 3,226,932.45
  5. Step 5: Solve for x
    x = 3,226,932.45/2,266.07
  6. Step 6: Final answer
    x = 1,424.02

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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.