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Finding the Fourth Proportional to 2,193.15, 3,289.79 and 1,498.17

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Solution

The fourth proportional to 2,193.15, 3,289.79 and 1,498.17 is: 2,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.15 : 3,289.79 = 1,498.17 : x
  2. Step 2: Convert to fraction form
    2,193.15/3,289.79 = 1,498.17/x
  3. Step 3: Cross multiply
    2,193.15x = 3,289.79 × 1,498.17
  4. Step 4: Simplify right side
    2,193.15x = 4,928,664.68
  5. Step 5: Solve for x
    x = 4,928,664.68/2,193.15
  6. Step 6: Final answer
    x = 2,247.30

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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.