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Finding the Fourth Proportional to 1,487.23, 2,052.83 and 889.97

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Solution

The fourth proportional to 1,487.23, 2,052.83 and 889.97 is: 1,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.23 : 2,052.83 = 889.97 : x
  2. Step 2: Convert to fraction form
    1,487.23/2,052.83 = 889.97/x
  3. Step 3: Cross multiply
    1,487.23x = 2,052.83 × 889.97
  4. Step 4: Simplify right side
    1,487.23x = 1,826,957.12
  5. Step 5: Solve for x
    x = 1,826,957.12/1,487.23
  6. Step 6: Final answer
    x = 1,228.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.