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Finding the Fourth Proportional to 3,112.66, 4,669.80 and 1,165.02

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Solution

The fourth proportional to 3,112.66, 4,669.80 and 1,165.02 is: 1,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.66 : 4,669.80 = 1,165.02 : x
  2. Step 2: Convert to fraction form
    3,112.66/4,669.80 = 1,165.02/x
  3. Step 3: Cross multiply
    3,112.66x = 4,669.80 × 1,165.02
  4. Step 4: Simplify right side
    3,112.66x = 5,440,410.40
  5. Step 5: Solve for x
    x = 5,440,410.40/3,112.66
  6. Step 6: Final answer
    x = 1,747.83

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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.