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Finding the Fourth Proportional to 1,950.33, 2,691.48 and 1,066.13

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Solution

The fourth proportional to 1,950.33, 2,691.48 and 1,066.13 is: 1,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.33 : 2,691.48 = 1,066.13 : x
  2. Step 2: Convert to fraction form
    1,950.33/2,691.48 = 1,066.13/x
  3. Step 3: Cross multiply
    1,950.33x = 2,691.48 × 1,066.13
  4. Step 4: Simplify right side
    1,950.33x = 2,869,467.57
  5. Step 5: Solve for x
    x = 2,869,467.57/1,950.33
  6. Step 6: Final answer
    x = 1,471.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.