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Finding the Fourth Proportional to 2,081.53, 2,863.86 and 1,800.87

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Solution

The fourth proportional to 2,081.53, 2,863.86 and 1,800.87 is: 2,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.53 : 2,863.86 = 1,800.87 : x
  2. Step 2: Convert to fraction form
    2,081.53/2,863.86 = 1,800.87/x
  3. Step 3: Cross multiply
    2,081.53x = 2,863.86 × 1,800.87
  4. Step 4: Simplify right side
    2,081.53x = 5,157,422.07
  5. Step 5: Solve for x
    x = 5,157,422.07/2,081.53
  6. Step 6: Final answer
    x = 2,477.71

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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.