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Finding the Fourth Proportional to 2,145.16, 3,218.22 and 847.96

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Solution

The fourth proportional to 2,145.16, 3,218.22 and 847.96 is: 1,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.16 : 3,218.22 = 847.96 : x
  2. Step 2: Convert to fraction form
    2,145.16/3,218.22 = 847.96/x
  3. Step 3: Cross multiply
    2,145.16x = 3,218.22 × 847.96
  4. Step 4: Simplify right side
    2,145.16x = 2,728,921.83
  5. Step 5: Solve for x
    x = 2,728,921.83/2,145.16
  6. Step 6: Final answer
    x = 1,272.13

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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.