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Finding the Fourth Proportional to 2,330.82, 3,496.21 and 1,097.56

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Solution

The fourth proportional to 2,330.82, 3,496.21 and 1,097.56 is: 1,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.82 : 3,496.21 = 1,097.56 : x
  2. Step 2: Convert to fraction form
    2,330.82/3,496.21 = 1,097.56/x
  3. Step 3: Cross multiply
    2,330.82x = 3,496.21 × 1,097.56
  4. Step 4: Simplify right side
    2,330.82x = 3,837,282.21
  5. Step 5: Solve for x
    x = 3,837,282.21/2,330.82
  6. Step 6: Final answer
    x = 1,646.32

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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.