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Finding the Fourth Proportional to 2,559.81, 3,840.26 and 1,261.11

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Solution

The fourth proportional to 2,559.81, 3,840.26 and 1,261.11 is: 1,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.81 : 3,840.26 = 1,261.11 : x
  2. Step 2: Convert to fraction form
    2,559.81/3,840.26 = 1,261.11/x
  3. Step 3: Cross multiply
    2,559.81x = 3,840.26 × 1,261.11
  4. Step 4: Simplify right side
    2,559.81x = 4,842,983.98
  5. Step 5: Solve for x
    x = 4,842,983.98/2,559.81
  6. Step 6: Final answer
    x = 1,891.93

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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.