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Finding the Fourth Proportional to 2,266.14, 3,396.29 and 948.41

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Solution

The fourth proportional to 2,266.14, 3,396.29 and 948.41 is: 1,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.14 : 3,396.29 = 948.41 : x
  2. Step 2: Convert to fraction form
    2,266.14/3,396.29 = 948.41/x
  3. Step 3: Cross multiply
    2,266.14x = 3,396.29 × 948.41
  4. Step 4: Simplify right side
    2,266.14x = 3,221,053.68
  5. Step 5: Solve for x
    x = 3,221,053.68/2,266.14
  6. Step 6: Final answer
    x = 1,421.38

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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.