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Finding the Fourth Proportional to 3,288.68, 4,933.62 and 1,097.20

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Solution

The fourth proportional to 3,288.68, 4,933.62 and 1,097.20 is: 1,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.68 : 4,933.62 = 1,097.20 : x
  2. Step 2: Convert to fraction form
    3,288.68/4,933.62 = 1,097.20/x
  3. Step 3: Cross multiply
    3,288.68x = 4,933.62 × 1,097.20
  4. Step 4: Simplify right side
    3,288.68x = 5,413,167.86
  5. Step 5: Solve for x
    x = 5,413,167.86/3,288.68
  6. Step 6: Final answer
    x = 1,646.00

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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.