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Finding the Fourth Proportional to 2,073.87, 2,861.87 and 1,189.82

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Solution

The fourth proportional to 2,073.87, 2,861.87 and 1,189.82 is: 1,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.87 : 2,861.87 = 1,189.82 : x
  2. Step 2: Convert to fraction form
    2,073.87/2,861.87 = 1,189.82/x
  3. Step 3: Cross multiply
    2,073.87x = 2,861.87 × 1,189.82
  4. Step 4: Simplify right side
    2,073.87x = 3,405,111.37
  5. Step 5: Solve for x
    x = 3,405,111.37/2,073.87
  6. Step 6: Final answer
    x = 1,641.91

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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.