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Finding the Fourth Proportional to 2,561.72, 3,840.15 and 1,261.67

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Solution

The fourth proportional to 2,561.72, 3,840.15 and 1,261.67 is: 1,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.72 : 3,840.15 = 1,261.67 : x
  2. Step 2: Convert to fraction form
    2,561.72/3,840.15 = 1,261.67/x
  3. Step 3: Cross multiply
    2,561.72x = 3,840.15 × 1,261.67
  4. Step 4: Simplify right side
    2,561.72x = 4,845,002.05
  5. Step 5: Solve for x
    x = 4,845,002.05/2,561.72
  6. Step 6: Final answer
    x = 1,891.31

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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.