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Finding the Fourth Proportional to 2,577.57, 3,857.31 and 1,848.57

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Solution

The fourth proportional to 2,577.57, 3,857.31 and 1,848.57 is: 2,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.57 : 3,857.31 = 1,848.57 : x
  2. Step 2: Convert to fraction form
    2,577.57/3,857.31 = 1,848.57/x
  3. Step 3: Cross multiply
    2,577.57x = 3,857.31 × 1,848.57
  4. Step 4: Simplify right side
    2,577.57x = 7,130,507.55
  5. Step 5: Solve for x
    x = 7,130,507.55/2,577.57
  6. Step 6: Final answer
    x = 2,766.37

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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.