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Finding the Fourth Proportional to 2,396.52, 3,308.31 and 1,601.17

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Solution

The fourth proportional to 2,396.52, 3,308.31 and 1,601.17 is: 2,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.52 : 3,308.31 = 1,601.17 : x
  2. Step 2: Convert to fraction form
    2,396.52/3,308.31 = 1,601.17/x
  3. Step 3: Cross multiply
    2,396.52x = 3,308.31 × 1,601.17
  4. Step 4: Simplify right side
    2,396.52x = 5,297,158.45
  5. Step 5: Solve for x
    x = 5,297,158.45/2,396.52
  6. Step 6: Final answer
    x = 2,210.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.