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Finding the Fourth Proportional to 2,189.80, 3,015.93 and 2,149.30

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Solution

The fourth proportional to 2,189.80, 3,015.93 and 2,149.30 is: 2,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.80 : 3,015.93 = 2,149.30 : x
  2. Step 2: Convert to fraction form
    2,189.80/3,015.93 = 2,149.30/x
  3. Step 3: Cross multiply
    2,189.80x = 3,015.93 × 2,149.30
  4. Step 4: Simplify right side
    2,189.80x = 6,482,138.35
  5. Step 5: Solve for x
    x = 6,482,138.35/2,189.80
  6. Step 6: Final answer
    x = 2,960.15

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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.