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Finding the Fourth Proportional to 2,526.95, 3,791.64 and 1,906.29

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Solution

The fourth proportional to 2,526.95, 3,791.64 and 1,906.29 is: 2,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.95 : 3,791.64 = 1,906.29 : x
  2. Step 2: Convert to fraction form
    2,526.95/3,791.64 = 1,906.29/x
  3. Step 3: Cross multiply
    2,526.95x = 3,791.64 × 1,906.29
  4. Step 4: Simplify right side
    2,526.95x = 7,227,965.42
  5. Step 5: Solve for x
    x = 7,227,965.42/2,526.95
  6. Step 6: Final answer
    x = 2,860.36

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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.