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Finding the Fourth Proportional to 1,950.22, 2,926.51 and 1,026.43

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Solution

The fourth proportional to 1,950.22, 2,926.51 and 1,026.43 is: 1,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.22 : 2,926.51 = 1,026.43 : x
  2. Step 2: Convert to fraction form
    1,950.22/2,926.51 = 1,026.43/x
  3. Step 3: Cross multiply
    1,950.22x = 2,926.51 × 1,026.43
  4. Step 4: Simplify right side
    1,950.22x = 3,003,857.66
  5. Step 5: Solve for x
    x = 3,003,857.66/1,950.22
  6. Step 6: Final answer
    x = 1,540.27

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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.