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Finding the Fourth Proportional to 2,560.96, 3,840.67 and 1,099.76

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Solution

The fourth proportional to 2,560.96, 3,840.67 and 1,099.76 is: 1,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.96 : 3,840.67 = 1,099.76 : x
  2. Step 2: Convert to fraction form
    2,560.96/3,840.67 = 1,099.76/x
  3. Step 3: Cross multiply
    2,560.96x = 3,840.67 × 1,099.76
  4. Step 4: Simplify right side
    2,560.96x = 4,223,815.24
  5. Step 5: Solve for x
    x = 4,223,815.24/2,560.96
  6. Step 6: Final answer
    x = 1,649.31

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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.