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Finding the Fourth Proportional to 2,766.57, 3,817.83 and 1,587.82

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Solution

The fourth proportional to 2,766.57, 3,817.83 and 1,587.82 is: 2,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.57 : 3,817.83 = 1,587.82 : x
  2. Step 2: Convert to fraction form
    2,766.57/3,817.83 = 1,587.82/x
  3. Step 3: Cross multiply
    2,766.57x = 3,817.83 × 1,587.82
  4. Step 4: Simplify right side
    2,766.57x = 6,062,026.83
  5. Step 5: Solve for x
    x = 6,062,026.83/2,766.57
  6. Step 6: Final answer
    x = 2,191.17

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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.