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Finding the Fourth Proportional to 2,832.97, 4,251.89 and 1,102.81

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Solution

The fourth proportional to 2,832.97, 4,251.89 and 1,102.81 is: 1,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.97 : 4,251.89 = 1,102.81 : x
  2. Step 2: Convert to fraction form
    2,832.97/4,251.89 = 1,102.81/x
  3. Step 3: Cross multiply
    2,832.97x = 4,251.89 × 1,102.81
  4. Step 4: Simplify right side
    2,832.97x = 4,689,026.81
  5. Step 5: Solve for x
    x = 4,689,026.81/2,832.97
  6. Step 6: Final answer
    x = 1,655.16

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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.