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Finding the Fourth Proportional to 2,053.82, 2,833.83 and 1,214.57

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Solution

The fourth proportional to 2,053.82, 2,833.83 and 1,214.57 is: 1,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.82 : 2,833.83 = 1,214.57 : x
  2. Step 2: Convert to fraction form
    2,053.82/2,833.83 = 1,214.57/x
  3. Step 3: Cross multiply
    2,053.82x = 2,833.83 × 1,214.57
  4. Step 4: Simplify right side
    2,053.82x = 3,441,891.99
  5. Step 5: Solve for x
    x = 3,441,891.99/2,053.82
  6. Step 6: Final answer
    x = 1,675.85

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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.