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Finding the Fourth Proportional to 2,605.41, 3,908.12 and 1,577.25

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Solution

The fourth proportional to 2,605.41, 3,908.12 and 1,577.25 is: 2,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.41 : 3,908.12 = 1,577.25 : x
  2. Step 2: Convert to fraction form
    2,605.41/3,908.12 = 1,577.25/x
  3. Step 3: Cross multiply
    2,605.41x = 3,908.12 × 1,577.25
  4. Step 4: Simplify right side
    2,605.41x = 6,164,074.38
  5. Step 5: Solve for x
    x = 6,164,074.38/2,605.41
  6. Step 6: Final answer
    x = 2,365.88

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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.