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Finding the Fourth Proportional to 2,083.21, 3,124.05 and 621.87

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Solution

The fourth proportional to 2,083.21, 3,124.05 and 621.87 is: 932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.21 : 3,124.05 = 621.87 : x
  2. Step 2: Convert to fraction form
    2,083.21/3,124.05 = 621.87/x
  3. Step 3: Cross multiply
    2,083.21x = 3,124.05 × 621.87
  4. Step 4: Simplify right side
    2,083.21x = 1,942,752.97
  5. Step 5: Solve for x
    x = 1,942,752.97/2,083.21
  6. Step 6: Final answer
    x = 932.58

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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.