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Finding the Fourth Proportional to 1,847.34, 2,770.83 and 1,187.49

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Solution

The fourth proportional to 1,847.34, 2,770.83 and 1,187.49 is: 1,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.34 : 2,770.83 = 1,187.49 : x
  2. Step 2: Convert to fraction form
    1,847.34/2,770.83 = 1,187.49/x
  3. Step 3: Cross multiply
    1,847.34x = 2,770.83 × 1,187.49
  4. Step 4: Simplify right side
    1,847.34x = 3,290,332.92
  5. Step 5: Solve for x
    x = 3,290,332.92/1,847.34
  6. Step 6: Final answer
    x = 1,781.12

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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.