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Finding the Fourth Proportional to 1,647.72, 2,272.02 and 1,228.32

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Solution

The fourth proportional to 1,647.72, 2,272.02 and 1,228.32 is: 1,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.72 : 2,272.02 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    1,647.72/2,272.02 = 1,228.32/x
  3. Step 3: Cross multiply
    1,647.72x = 2,272.02 × 1,228.32
  4. Step 4: Simplify right side
    1,647.72x = 2,790,767.61
  5. Step 5: Solve for x
    x = 2,790,767.61/1,647.72
  6. Step 6: Final answer
    x = 1,693.71

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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.