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Finding the Fourth Proportional to 2,162.47, 3,241.95 and 1,122.64

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Solution

The fourth proportional to 2,162.47, 3,241.95 and 1,122.64 is: 1,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.47 : 3,241.95 = 1,122.64 : x
  2. Step 2: Convert to fraction form
    2,162.47/3,241.95 = 1,122.64/x
  3. Step 3: Cross multiply
    2,162.47x = 3,241.95 × 1,122.64
  4. Step 4: Simplify right side
    2,162.47x = 3,639,542.75
  5. Step 5: Solve for x
    x = 3,639,542.75/2,162.47
  6. Step 6: Final answer
    x = 1,683.05

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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.