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Finding the Fourth Proportional to 2,739.49, 4,109.91 and 890.70

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Solution

The fourth proportional to 2,739.49, 4,109.91 and 890.70 is: 1,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.49 : 4,109.91 = 890.70 : x
  2. Step 2: Convert to fraction form
    2,739.49/4,109.91 = 890.70/x
  3. Step 3: Cross multiply
    2,739.49x = 4,109.91 × 890.70
  4. Step 4: Simplify right side
    2,739.49x = 3,660,678.08
  5. Step 5: Solve for x
    x = 3,660,678.08/2,739.49
  6. Step 6: Final answer
    x = 1,336.26

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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.