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Finding the Fourth Proportional to 2,329.83, 3,494.70 and 1,097.82

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Solution

The fourth proportional to 2,329.83, 3,494.70 and 1,097.82 is: 1,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.83 : 3,494.70 = 1,097.82 : x
  2. Step 2: Convert to fraction form
    2,329.83/3,494.70 = 1,097.82/x
  3. Step 3: Cross multiply
    2,329.83x = 3,494.70 × 1,097.82
  4. Step 4: Simplify right side
    2,329.83x = 3,836,551.55
  5. Step 5: Solve for x
    x = 3,836,551.55/2,329.83
  6. Step 6: Final answer
    x = 1,646.71

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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.