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Finding the Fourth Proportional to 2,832.22, 4,253.13 and 1,846.72

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Solution

The fourth proportional to 2,832.22, 4,253.13 and 1,846.72 is: 2,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.22 : 4,253.13 = 1,846.72 : x
  2. Step 2: Convert to fraction form
    2,832.22/4,253.13 = 1,846.72/x
  3. Step 3: Cross multiply
    2,832.22x = 4,253.13 × 1,846.72
  4. Step 4: Simplify right side
    2,832.22x = 7,854,331
  5. Step 5: Solve for x
    x = 7,854,331/2,832.22
  6. Step 6: Final answer
    x = 2,773.21

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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.