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Finding the Fourth Proportional to 3,289.25, 4,934.13 and 1,097.99

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Solution

The fourth proportional to 3,289.25, 4,934.13 and 1,097.99 is: 1,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.25 : 4,934.13 = 1,097.99 : x
  2. Step 2: Convert to fraction form
    3,289.25/4,934.13 = 1,097.99/x
  3. Step 3: Cross multiply
    3,289.25x = 4,934.13 × 1,097.99
  4. Step 4: Simplify right side
    3,289.25x = 5,417,600.73
  5. Step 5: Solve for x
    x = 5,417,600.73/3,289.25
  6. Step 6: Final answer
    x = 1,647.07

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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.