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Finding the Fourth Proportional to 2,085.62, 3,127.96 and 624.58

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Solution

The fourth proportional to 2,085.62, 3,127.96 and 624.58 is: 936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.62 : 3,127.96 = 624.58 : x
  2. Step 2: Convert to fraction form
    2,085.62/3,127.96 = 624.58/x
  3. Step 3: Cross multiply
    2,085.62x = 3,127.96 × 624.58
  4. Step 4: Simplify right side
    2,085.62x = 1,953,658.13
  5. Step 5: Solve for x
    x = 1,953,658.13/2,085.62
  6. Step 6: Final answer
    x = 936.73

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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.