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Finding the Fourth Proportional to 2,086.95, 2,880.30 and 1,202.61

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Solution

The fourth proportional to 2,086.95, 2,880.30 and 1,202.61 is: 1,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.95 : 2,880.30 = 1,202.61 : x
  2. Step 2: Convert to fraction form
    2,086.95/2,880.30 = 1,202.61/x
  3. Step 3: Cross multiply
    2,086.95x = 2,880.30 × 1,202.61
  4. Step 4: Simplify right side
    2,086.95x = 3,463,877.58
  5. Step 5: Solve for x
    x = 3,463,877.58/2,086.95
  6. Step 6: Final answer
    x = 1,659.78

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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.