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Finding the Fourth Proportional to 2,765.97, 3,817.10 and 1,586.95

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Solution

The fourth proportional to 2,765.97, 3,817.10 and 1,586.95 is: 2,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.97 : 3,817.10 = 1,586.95 : x
  2. Step 2: Convert to fraction form
    2,765.97/3,817.10 = 1,586.95/x
  3. Step 3: Cross multiply
    2,765.97x = 3,817.10 × 1,586.95
  4. Step 4: Simplify right side
    2,765.97x = 6,057,541.27
  5. Step 5: Solve for x
    x = 6,057,541.27/2,765.97
  6. Step 6: Final answer
    x = 2,190.02

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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.