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Finding the Fourth Proportional to 2,010.83, 3,016.68 and 624.14

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Solution

The fourth proportional to 2,010.83, 3,016.68 and 624.14 is: 936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.83 : 3,016.68 = 624.14 : x
  2. Step 2: Convert to fraction form
    2,010.83/3,016.68 = 624.14/x
  3. Step 3: Cross multiply
    2,010.83x = 3,016.68 × 624.14
  4. Step 4: Simplify right side
    2,010.83x = 1,882,812.45
  5. Step 5: Solve for x
    x = 1,882,812.45/2,010.83
  6. Step 6: Final answer
    x = 936.34

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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.