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Finding the Fourth Proportional to 2,774.43, 3,829.41 and 1,780.02

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Solution

The fourth proportional to 2,774.43, 3,829.41 and 1,780.02 is: 2,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.43 : 3,829.41 = 1,780.02 : x
  2. Step 2: Convert to fraction form
    2,774.43/3,829.41 = 1,780.02/x
  3. Step 3: Cross multiply
    2,774.43x = 3,829.41 × 1,780.02
  4. Step 4: Simplify right side
    2,774.43x = 6,816,426.39
  5. Step 5: Solve for x
    x = 6,816,426.39/2,774.43
  6. Step 6: Final answer
    x = 2,456.87

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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.