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Finding the Fourth Proportional to 3,186.42, 4,396.77 and 1,788.90

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Solution

The fourth proportional to 3,186.42, 4,396.77 and 1,788.90 is: 2,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.42 : 4,396.77 = 1,788.90 : x
  2. Step 2: Convert to fraction form
    3,186.42/4,396.77 = 1,788.90/x
  3. Step 3: Cross multiply
    3,186.42x = 4,396.77 × 1,788.90
  4. Step 4: Simplify right side
    3,186.42x = 7,865,381.85
  5. Step 5: Solve for x
    x = 7,865,381.85/3,186.42
  6. Step 6: Final answer
    x = 2,468.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.