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Finding the Fourth Proportional to 1,951.31, 2,924.73 and 962.03

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Solution

The fourth proportional to 1,951.31, 2,924.73 and 962.03 is: 1,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.31 : 2,924.73 = 962.03 : x
  2. Step 2: Convert to fraction form
    1,951.31/2,924.73 = 962.03/x
  3. Step 3: Cross multiply
    1,951.31x = 2,924.73 × 962.03
  4. Step 4: Simplify right side
    1,951.31x = 2,813,663.38
  5. Step 5: Solve for x
    x = 2,813,663.38/1,951.31
  6. Step 6: Final answer
    x = 1,441.94

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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.