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Finding the Fourth Proportional to 2,846.32, 4,272.14 and 1,752.82

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Solution

The fourth proportional to 2,846.32, 4,272.14 and 1,752.82 is: 2,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.32 : 4,272.14 = 1,752.82 : x
  2. Step 2: Convert to fraction form
    2,846.32/4,272.14 = 1,752.82/x
  3. Step 3: Cross multiply
    2,846.32x = 4,272.14 × 1,752.82
  4. Step 4: Simplify right side
    2,846.32x = 7,488,286.14
  5. Step 5: Solve for x
    x = 7,488,286.14/2,846.32
  6. Step 6: Final answer
    x = 2,630.87

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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.