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Finding the Fourth Proportional to 4,791.42, 7,186.89 and 1,670.22

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Solution

The fourth proportional to 4,791.42, 7,186.89 and 1,670.22 is: 2,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.42 : 7,186.89 = 1,670.22 : x
  2. Step 2: Convert to fraction form
    4,791.42/7,186.89 = 1,670.22/x
  3. Step 3: Cross multiply
    4,791.42x = 7,186.89 × 1,670.22
  4. Step 4: Simplify right side
    4,791.42x = 12,003,687.42
  5. Step 5: Solve for x
    x = 12,003,687.42/4,791.42
  6. Step 6: Final answer
    x = 2,505.25

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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.