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Finding the Fourth Proportional to 2,086.81, 2,880.12 and 1,190.55

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Solution

The fourth proportional to 2,086.81, 2,880.12 and 1,190.55 is: 1,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.81 : 2,880.12 = 1,190.55 : x
  2. Step 2: Convert to fraction form
    2,086.81/2,880.12 = 1,190.55/x
  3. Step 3: Cross multiply
    2,086.81x = 2,880.12 × 1,190.55
  4. Step 4: Simplify right side
    2,086.81x = 3,428,926.87
  5. Step 5: Solve for x
    x = 3,428,926.87/2,086.81
  6. Step 6: Final answer
    x = 1,643.14

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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.