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Finding the Fourth Proportional to 2,414.03, 3,600.68 and 2,201.81

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Solution

The fourth proportional to 2,414.03, 3,600.68 and 2,201.81 is: 3,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.03 : 3,600.68 = 2,201.81 : x
  2. Step 2: Convert to fraction form
    2,414.03/3,600.68 = 2,201.81/x
  3. Step 3: Cross multiply
    2,414.03x = 3,600.68 × 2,201.81
  4. Step 4: Simplify right side
    2,414.03x = 7,927,984.22
  5. Step 5: Solve for x
    x = 7,927,984.22/2,414.03
  6. Step 6: Final answer
    x = 3,284.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.