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Finding the Fourth Proportional to 3,040.76, 4,196.12 and 1,714.44

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Solution

The fourth proportional to 3,040.76, 4,196.12 and 1,714.44 is: 2,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.76 : 4,196.12 = 1,714.44 : x
  2. Step 2: Convert to fraction form
    3,040.76/4,196.12 = 1,714.44/x
  3. Step 3: Cross multiply
    3,040.76x = 4,196.12 × 1,714.44
  4. Step 4: Simplify right side
    3,040.76x = 7,193,995.97
  5. Step 5: Solve for x
    x = 7,193,995.97/3,040.76
  6. Step 6: Final answer
    x = 2,365.85

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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.