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Finding the Fourth Proportional to 2,083.60, 3,124.92 and 622.62

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Solution

The fourth proportional to 2,083.60, 3,124.92 and 622.62 is: 933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.60 : 3,124.92 = 622.62 : x
  2. Step 2: Convert to fraction form
    2,083.60/3,124.92 = 622.62/x
  3. Step 3: Cross multiply
    2,083.60x = 3,124.92 × 622.62
  4. Step 4: Simplify right side
    2,083.60x = 1,945,637.69
  5. Step 5: Solve for x
    x = 1,945,637.69/2,083.60
  6. Step 6: Final answer
    x = 933.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.