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Finding the Fourth Proportional to 2,083.49, 3,124.91 and 622.76

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Solution

The fourth proportional to 2,083.49, 3,124.91 and 622.76 is: 934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.49 : 3,124.91 = 622.76 : x
  2. Step 2: Convert to fraction form
    2,083.49/3,124.91 = 622.76/x
  3. Step 3: Cross multiply
    2,083.49x = 3,124.91 × 622.76
  4. Step 4: Simplify right side
    2,083.49x = 1,946,078.32
  5. Step 5: Solve for x
    x = 1,946,078.32/2,083.49
  6. Step 6: Final answer
    x = 934.05

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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.