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Finding the Fourth Proportional to 2,740.82, 4,109.16 and 890.83

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Solution

The fourth proportional to 2,740.82, 4,109.16 and 890.83 is: 1,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.82 : 4,109.16 = 890.83 : x
  2. Step 2: Convert to fraction form
    2,740.82/4,109.16 = 890.83/x
  3. Step 3: Cross multiply
    2,740.82x = 4,109.16 × 890.83
  4. Step 4: Simplify right side
    2,740.82x = 3,660,563.00
  5. Step 5: Solve for x
    x = 3,660,563.00/2,740.82
  6. Step 6: Final answer
    x = 1,335.57

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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.