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Finding the Fourth Proportional to 2,309.70, 3,189.63 and 1,976.18

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Solution

The fourth proportional to 2,309.70, 3,189.63 and 1,976.18 is: 2,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.70 : 3,189.63 = 1,976.18 : x
  2. Step 2: Convert to fraction form
    2,309.70/3,189.63 = 1,976.18/x
  3. Step 3: Cross multiply
    2,309.70x = 3,189.63 × 1,976.18
  4. Step 4: Simplify right side
    2,309.70x = 6,303,267.07
  5. Step 5: Solve for x
    x = 6,303,267.07/2,309.70
  6. Step 6: Final answer
    x = 2,729.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.