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Finding the Fourth Proportional to 3,288.99, 4,933.35 and 1,097.13

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Solution

The fourth proportional to 3,288.99, 4,933.35 and 1,097.13 is: 1,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.99 : 4,933.35 = 1,097.13 : x
  2. Step 2: Convert to fraction form
    3,288.99/4,933.35 = 1,097.13/x
  3. Step 3: Cross multiply
    3,288.99x = 4,933.35 × 1,097.13
  4. Step 4: Simplify right side
    3,288.99x = 5,412,526.29
  5. Step 5: Solve for x
    x = 5,412,526.29/3,288.99
  6. Step 6: Final answer
    x = 1,645.65

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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.