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Finding the Fourth Proportional to 3,112.97, 4,669.29 and 1,165.01

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Solution

The fourth proportional to 3,112.97, 4,669.29 and 1,165.01 is: 1,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.97 : 4,669.29 = 1,165.01 : x
  2. Step 2: Convert to fraction form
    3,112.97/4,669.29 = 1,165.01/x
  3. Step 3: Cross multiply
    3,112.97x = 4,669.29 × 1,165.01
  4. Step 4: Simplify right side
    3,112.97x = 5,439,769.54
  5. Step 5: Solve for x
    x = 5,439,769.54/3,112.97
  6. Step 6: Final answer
    x = 1,747.45

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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.