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Finding the Fourth Proportional to 2,791.04, 4,186.60 and 711.05

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Solution

The fourth proportional to 2,791.04, 4,186.60 and 711.05 is: 1,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.04 : 4,186.60 = 711.05 : x
  2. Step 2: Convert to fraction form
    2,791.04/4,186.60 = 711.05/x
  3. Step 3: Cross multiply
    2,791.04x = 4,186.60 × 711.05
  4. Step 4: Simplify right side
    2,791.04x = 2,976,859.22
  5. Step 5: Solve for x
    x = 2,976,859.22/2,791.04
  6. Step 6: Final answer
    x = 1,066.58

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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.