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Finding the Fourth Proportional to 3,186.87, 4,781.57 and 1,431.39

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Solution

The fourth proportional to 3,186.87, 4,781.57 and 1,431.39 is: 2,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.87 : 4,781.57 = 1,431.39 : x
  2. Step 2: Convert to fraction form
    3,186.87/4,781.57 = 1,431.39/x
  3. Step 3: Cross multiply
    3,186.87x = 4,781.57 × 1,431.39
  4. Step 4: Simplify right side
    3,186.87x = 6,844,302.26
  5. Step 5: Solve for x
    x = 6,844,302.26/3,186.87
  6. Step 6: Final answer
    x = 2,147.66

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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.