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Finding the Fourth Proportional to 3,346.47, 4,618.13 and 1,834.03

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Solution

The fourth proportional to 3,346.47, 4,618.13 and 1,834.03 is: 2,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.47 : 4,618.13 = 1,834.03 : x
  2. Step 2: Convert to fraction form
    3,346.47/4,618.13 = 1,834.03/x
  3. Step 3: Cross multiply
    3,346.47x = 4,618.13 × 1,834.03
  4. Step 4: Simplify right side
    3,346.47x = 8,469,801.13
  5. Step 5: Solve for x
    x = 8,469,801.13/3,346.47
  6. Step 6: Final answer
    x = 2,530.96

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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.