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Finding the Fourth Proportional to 2,017.06, 2,782.83 and 1,318.84

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Solution

The fourth proportional to 2,017.06, 2,782.83 and 1,318.84 is: 1,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.06 : 2,782.83 = 1,318.84 : x
  2. Step 2: Convert to fraction form
    2,017.06/2,782.83 = 1,318.84/x
  3. Step 3: Cross multiply
    2,017.06x = 2,782.83 × 1,318.84
  4. Step 4: Simplify right side
    2,017.06x = 3,670,107.52
  5. Step 5: Solve for x
    x = 3,670,107.52/2,017.06
  6. Step 6: Final answer
    x = 1,819.53

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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.