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Finding the Fourth Proportional to 2,740.12, 4,109.22 and 890.89

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Solution

The fourth proportional to 2,740.12, 4,109.22 and 890.89 is: 1,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.12 : 4,109.22 = 890.89 : x
  2. Step 2: Convert to fraction form
    2,740.12/4,109.22 = 890.89/x
  3. Step 3: Cross multiply
    2,740.12x = 4,109.22 × 890.89
  4. Step 4: Simplify right side
    2,740.12x = 3,660,852.73
  5. Step 5: Solve for x
    x = 3,660,852.73/2,740.12
  6. Step 6: Final answer
    x = 1,336.02

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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.