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Finding the Fourth Proportional to 1,481.66, 2,224.87 and 962.92

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Solution

The fourth proportional to 1,481.66, 2,224.87 and 962.92 is: 1,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.66 : 2,224.87 = 962.92 : x
  2. Step 2: Convert to fraction form
    1,481.66/2,224.87 = 962.92/x
  3. Step 3: Cross multiply
    1,481.66x = 2,224.87 × 962.92
  4. Step 4: Simplify right side
    1,481.66x = 2,142,372.19
  5. Step 5: Solve for x
    x = 2,142,372.19/1,481.66
  6. Step 6: Final answer
    x = 1,445.93

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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.