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Finding the Fourth Proportional to 2,062.92, 2,850.42 and 1,624.30

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Solution

The fourth proportional to 2,062.92, 2,850.42 and 1,624.30 is: 2,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.92 : 2,850.42 = 1,624.30 : x
  2. Step 2: Convert to fraction form
    2,062.92/2,850.42 = 1,624.30/x
  3. Step 3: Cross multiply
    2,062.92x = 2,850.42 × 1,624.30
  4. Step 4: Simplify right side
    2,062.92x = 4,629,937.21
  5. Step 5: Solve for x
    x = 4,629,937.21/2,062.92
  6. Step 6: Final answer
    x = 2,244.36

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Why These Related Problems?

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