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Finding the Fourth Proportional to 1,390.90, 2,083.73 and 1,081.24

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Solution

The fourth proportional to 1,390.90, 2,083.73 and 1,081.24 is: 1,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.90 : 2,083.73 = 1,081.24 : x
  2. Step 2: Convert to fraction form
    1,390.90/2,083.73 = 1,081.24/x
  3. Step 3: Cross multiply
    1,390.90x = 2,083.73 × 1,081.24
  4. Step 4: Simplify right side
    1,390.90x = 2,253,011.87
  5. Step 5: Solve for x
    x = 2,253,011.87/1,390.90
  6. Step 6: Final answer
    x = 1,619.83

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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.