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Finding the Fourth Proportional to 3,149.42, 4,717.64 and 1,847.76

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Solution

The fourth proportional to 3,149.42, 4,717.64 and 1,847.76 is: 2,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.42 : 4,717.64 = 1,847.76 : x
  2. Step 2: Convert to fraction form
    3,149.42/4,717.64 = 1,847.76/x
  3. Step 3: Cross multiply
    3,149.42x = 4,717.64 × 1,847.76
  4. Step 4: Simplify right side
    3,149.42x = 8,717,066.49
  5. Step 5: Solve for x
    x = 8,717,066.49/3,149.42
  6. Step 6: Final answer
    x = 2,767.83

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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.