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Finding the Fourth Proportional to 2,085.73, 3,129.04 and 624.76

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Solution

The fourth proportional to 2,085.73, 3,129.04 and 624.76 is: 937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.73 : 3,129.04 = 624.76 : x
  2. Step 2: Convert to fraction form
    2,085.73/3,129.04 = 624.76/x
  3. Step 3: Cross multiply
    2,085.73x = 3,129.04 × 624.76
  4. Step 4: Simplify right side
    2,085.73x = 1,954,891.99
  5. Step 5: Solve for x
    x = 1,954,891.99/2,085.73
  6. Step 6: Final answer
    x = 937.27

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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.