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Finding the Fourth Proportional to 3,112.72, 4,665.84 and 1,164.08

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Solution

The fourth proportional to 3,112.72, 4,665.84 and 1,164.08 is: 1,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.72 : 4,665.84 = 1,164.08 : x
  2. Step 2: Convert to fraction form
    3,112.72/4,665.84 = 1,164.08/x
  3. Step 3: Cross multiply
    3,112.72x = 4,665.84 × 1,164.08
  4. Step 4: Simplify right side
    3,112.72x = 5,431,411.03
  5. Step 5: Solve for x
    x = 5,431,411.03/3,112.72
  6. Step 6: Final answer
    x = 1,744.91

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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.