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Finding the Fourth Proportional to 1,644.32, 2,268.12 and 1,055.60

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Solution

The fourth proportional to 1,644.32, 2,268.12 and 1,055.60 is: 1,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.32 : 2,268.12 = 1,055.60 : x
  2. Step 2: Convert to fraction form
    1,644.32/2,268.12 = 1,055.60/x
  3. Step 3: Cross multiply
    1,644.32x = 2,268.12 × 1,055.60
  4. Step 4: Simplify right side
    1,644.32x = 2,394,227.47
  5. Step 5: Solve for x
    x = 2,394,227.47/1,644.32
  6. Step 6: Final answer
    x = 1,456.06

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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.