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Finding the Fourth Proportional to 2,577.70, 3,861.15 and 2,027.26

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Solution

The fourth proportional to 2,577.70, 3,861.15 and 2,027.26 is: 3,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.70 : 3,861.15 = 2,027.26 : x
  2. Step 2: Convert to fraction form
    2,577.70/3,861.15 = 2,027.26/x
  3. Step 3: Cross multiply
    2,577.70x = 3,861.15 × 2,027.26
  4. Step 4: Simplify right side
    2,577.70x = 7,827,554.95
  5. Step 5: Solve for x
    x = 7,827,554.95/2,577.70
  6. Step 6: Final answer
    x = 3,036.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.