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Finding the Fourth Proportional to 2,011.34, 3,016.61 and 624.34

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Solution

The fourth proportional to 2,011.34, 3,016.61 and 624.34 is: 936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.34 : 3,016.61 = 624.34 : x
  2. Step 2: Convert to fraction form
    2,011.34/3,016.61 = 624.34/x
  3. Step 3: Cross multiply
    2,011.34x = 3,016.61 × 624.34
  4. Step 4: Simplify right side
    2,011.34x = 1,883,390.29
  5. Step 5: Solve for x
    x = 1,883,390.29/2,011.34
  6. Step 6: Final answer
    x = 936.39

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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.