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Finding the Fourth Proportional to 2,084.96, 3,127.85 and 624.26

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Solution

The fourth proportional to 2,084.96, 3,127.85 and 624.26 is: 936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.96 : 3,127.85 = 624.26 : x
  2. Step 2: Convert to fraction form
    2,084.96/3,127.85 = 624.26/x
  3. Step 3: Cross multiply
    2,084.96x = 3,127.85 × 624.26
  4. Step 4: Simplify right side
    2,084.96x = 1,952,572.88
  5. Step 5: Solve for x
    x = 1,952,572.88/2,084.96
  6. Step 6: Final answer
    x = 936.51

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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.