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Finding the Fourth Proportional to 2,742.67, 4,113.64 and 1,099.24

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Solution

The fourth proportional to 2,742.67, 4,113.64 and 1,099.24 is: 1,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.67 : 4,113.64 = 1,099.24 : x
  2. Step 2: Convert to fraction form
    2,742.67/4,113.64 = 1,099.24/x
  3. Step 3: Cross multiply
    2,742.67x = 4,113.64 × 1,099.24
  4. Step 4: Simplify right side
    2,742.67x = 4,521,864.60
  5. Step 5: Solve for x
    x = 4,521,864.60/2,742.67
  6. Step 6: Final answer
    x = 1,648.71

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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.