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Finding the Fourth Proportional to 1,297.32, 1,789.20 and 1,167.72

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Solution

The fourth proportional to 1,297.32, 1,789.20 and 1,167.72 is: 1,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.32 : 1,789.20 = 1,167.72 : x
  2. Step 2: Convert to fraction form
    1,297.32/1,789.20 = 1,167.72/x
  3. Step 3: Cross multiply
    1,297.32x = 1,789.20 × 1,167.72
  4. Step 4: Simplify right side
    1,297.32x = 2,089,284.62
  5. Step 5: Solve for x
    x = 2,089,284.62/1,297.32
  6. Step 6: Final answer
    x = 1,610.46

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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.