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Finding the Fourth Proportional to 2,677.90, 3,692.91 and 2,088.22

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Solution

The fourth proportional to 2,677.90, 3,692.91 and 2,088.22 is: 2,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.90 : 3,692.91 = 2,088.22 : x
  2. Step 2: Convert to fraction form
    2,677.90/3,692.91 = 2,088.22/x
  3. Step 3: Cross multiply
    2,677.90x = 3,692.91 × 2,088.22
  4. Step 4: Simplify right side
    2,677.90x = 7,711,608.52
  5. Step 5: Solve for x
    x = 7,711,608.52/2,677.90
  6. Step 6: Final answer
    x = 2,879.72

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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.