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Finding the Fourth Proportional to 3,288.64, 4,933.01 and 1,097.37

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Solution

The fourth proportional to 3,288.64, 4,933.01 and 1,097.37 is: 1,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.64 : 4,933.01 = 1,097.37 : x
  2. Step 2: Convert to fraction form
    3,288.64/4,933.01 = 1,097.37/x
  3. Step 3: Cross multiply
    3,288.64x = 4,933.01 × 1,097.37
  4. Step 4: Simplify right side
    3,288.64x = 5,413,337.18
  5. Step 5: Solve for x
    x = 5,413,337.18/3,288.64
  6. Step 6: Final answer
    x = 1,646.07

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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.