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Finding the Fourth Proportional to 2,087.62, 2,862.63 and 2,017.76

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Solution

The fourth proportional to 2,087.62, 2,862.63 and 2,017.76 is: 2,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.62 : 2,862.63 = 2,017.76 : x
  2. Step 2: Convert to fraction form
    2,087.62/2,862.63 = 2,017.76/x
  3. Step 3: Cross multiply
    2,087.62x = 2,862.63 × 2,017.76
  4. Step 4: Simplify right side
    2,087.62x = 5,776,086.00
  5. Step 5: Solve for x
    x = 5,776,086.00/2,087.62
  6. Step 6: Final answer
    x = 2,766.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.