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Finding the Fourth Proportional to 2,011.33, 3,014.89 and 969.76

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Solution

The fourth proportional to 2,011.33, 3,014.89 and 969.76 is: 1,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.33 : 3,014.89 = 969.76 : x
  2. Step 2: Convert to fraction form
    2,011.33/3,014.89 = 969.76/x
  3. Step 3: Cross multiply
    2,011.33x = 3,014.89 × 969.76
  4. Step 4: Simplify right side
    2,011.33x = 2,923,702.23
  5. Step 5: Solve for x
    x = 2,923,702.23/2,011.33
  6. Step 6: Final answer
    x = 1,453.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.