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Finding the Fourth Proportional to 1,485.18, 2,049.48 and 821.97

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Solution

The fourth proportional to 1,485.18, 2,049.48 and 821.97 is: 1,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.18 : 2,049.48 = 821.97 : x
  2. Step 2: Convert to fraction form
    1,485.18/2,049.48 = 821.97/x
  3. Step 3: Cross multiply
    1,485.18x = 2,049.48 × 821.97
  4. Step 4: Simplify right side
    1,485.18x = 1,684,611.08
  5. Step 5: Solve for x
    x = 1,684,611.08/1,485.18
  6. Step 6: Final answer
    x = 1,134.28

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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.