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Finding the Fourth Proportional to 2,091.80, 2,887.18 and 1,383.78

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Solution

The fourth proportional to 2,091.80, 2,887.18 and 1,383.78 is: 1,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.80 : 2,887.18 = 1,383.78 : x
  2. Step 2: Convert to fraction form
    2,091.80/2,887.18 = 1,383.78/x
  3. Step 3: Cross multiply
    2,091.80x = 2,887.18 × 1,383.78
  4. Step 4: Simplify right side
    2,091.80x = 3,995,221.94
  5. Step 5: Solve for x
    x = 3,995,221.94/2,091.80
  6. Step 6: Final answer
    x = 1,909.94

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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.