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Finding the Fourth Proportional to 2,175.44, 3,262.40 and 1,079.12

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Solution

The fourth proportional to 2,175.44, 3,262.40 and 1,079.12 is: 1,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.44 : 3,262.40 = 1,079.12 : x
  2. Step 2: Convert to fraction form
    2,175.44/3,262.40 = 1,079.12/x
  3. Step 3: Cross multiply
    2,175.44x = 3,262.40 × 1,079.12
  4. Step 4: Simplify right side
    2,175.44x = 3,520,521.09
  5. Step 5: Solve for x
    x = 3,520,521.09/2,175.44
  6. Step 6: Final answer
    x = 1,618.30

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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.