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Finding the Fourth Proportional to 2,073.79, 2,861.88 and 1,189.87

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Solution

The fourth proportional to 2,073.79, 2,861.88 and 1,189.87 is: 1,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.79 : 2,861.88 = 1,189.87 : x
  2. Step 2: Convert to fraction form
    2,073.79/2,861.88 = 1,189.87/x
  3. Step 3: Cross multiply
    2,073.79x = 2,861.88 × 1,189.87
  4. Step 4: Simplify right side
    2,073.79x = 3,405,265.16
  5. Step 5: Solve for x
    x = 3,405,265.16/2,073.79
  6. Step 6: Final answer
    x = 1,642.05

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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.