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Finding the Fourth Proportional to 2,024.81, 3,036.63 and 791.34

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Solution

The fourth proportional to 2,024.81, 3,036.63 and 791.34 is: 1,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.81 : 3,036.63 = 791.34 : x
  2. Step 2: Convert to fraction form
    2,024.81/3,036.63 = 791.34/x
  3. Step 3: Cross multiply
    2,024.81x = 3,036.63 × 791.34
  4. Step 4: Simplify right side
    2,024.81x = 2,403,006.78
  5. Step 5: Solve for x
    x = 2,403,006.78/2,024.81
  6. Step 6: Final answer
    x = 1,186.78

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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.