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Finding the Fourth Proportional to 2,414.76, 3,623.31 and 1,099.37

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Solution

The fourth proportional to 2,414.76, 3,623.31 and 1,099.37 is: 1,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.76 : 3,623.31 = 1,099.37 : x
  2. Step 2: Convert to fraction form
    2,414.76/3,623.31 = 1,099.37/x
  3. Step 3: Cross multiply
    2,414.76x = 3,623.31 × 1,099.37
  4. Step 4: Simplify right side
    2,414.76x = 3,983,340.20
  5. Step 5: Solve for x
    x = 3,983,340.20/2,414.76
  6. Step 6: Final answer
    x = 1,649.58

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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.