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Finding the Fourth Proportional to 2,843.42, 4,232 and 2,816.06

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Solution

The fourth proportional to 2,843.42, 4,232 and 2,816.06 is: 4,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.42 : 4,232 = 2,816.06 : x
  2. Step 2: Convert to fraction form
    2,843.42/4,232 = 2,816.06/x
  3. Step 3: Cross multiply
    2,843.42x = 4,232 × 2,816.06
  4. Step 4: Simplify right side
    2,843.42x = 11,917,565.92
  5. Step 5: Solve for x
    x = 11,917,565.92/2,843.42
  6. Step 6: Final answer
    x = 4,191.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.