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Finding the Fourth Proportional to 2,074.93, 3,112.30 and 842.02

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Solution

The fourth proportional to 2,074.93, 3,112.30 and 842.02 is: 1,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.93 : 3,112.30 = 842.02 : x
  2. Step 2: Convert to fraction form
    2,074.93/3,112.30 = 842.02/x
  3. Step 3: Cross multiply
    2,074.93x = 3,112.30 × 842.02
  4. Step 4: Simplify right side
    2,074.93x = 2,620,618.85
  5. Step 5: Solve for x
    x = 2,620,618.85/2,074.93
  6. Step 6: Final answer
    x = 1,262.99

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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.