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Finding the Fourth Proportional to 1,485.25, 2,229.14 and 827.78

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Solution

The fourth proportional to 1,485.25, 2,229.14 and 827.78 is: 1,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.25 : 2,229.14 = 827.78 : x
  2. Step 2: Convert to fraction form
    1,485.25/2,229.14 = 827.78/x
  3. Step 3: Cross multiply
    1,485.25x = 2,229.14 × 827.78
  4. Step 4: Simplify right side
    1,485.25x = 1,845,237.51
  5. Step 5: Solve for x
    x = 1,845,237.51/1,485.25
  6. Step 6: Final answer
    x = 1,242.38

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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.