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Finding the Fourth Proportional to 2,140.48, 3,211.17 and 1,216.45

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Solution

The fourth proportional to 2,140.48, 3,211.17 and 1,216.45 is: 1,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.48 : 3,211.17 = 1,216.45 : x
  2. Step 2: Convert to fraction form
    2,140.48/3,211.17 = 1,216.45/x
  3. Step 3: Cross multiply
    2,140.48x = 3,211.17 × 1,216.45
  4. Step 4: Simplify right side
    2,140.48x = 3,906,227.75
  5. Step 5: Solve for x
    x = 3,906,227.75/2,140.48
  6. Step 6: Final answer
    x = 1,824.93

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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.