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Finding the Fourth Proportional to 2,081.77, 2,869.86 and 1,284.56

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Solution

The fourth proportional to 2,081.77, 2,869.86 and 1,284.56 is: 1,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.77 : 2,869.86 = 1,284.56 : x
  2. Step 2: Convert to fraction form
    2,081.77/2,869.86 = 1,284.56/x
  3. Step 3: Cross multiply
    2,081.77x = 2,869.86 × 1,284.56
  4. Step 4: Simplify right side
    2,081.77x = 3,686,486.59
  5. Step 5: Solve for x
    x = 3,686,486.59/2,081.77
  6. Step 6: Final answer
    x = 1,770.85

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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.