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Finding the Fourth Proportional to 2,832.66, 4,242.80 and 2,008.43

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Solution

The fourth proportional to 2,832.66, 4,242.80 and 2,008.43 is: 3,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.66 : 4,242.80 = 2,008.43 : x
  2. Step 2: Convert to fraction form
    2,832.66/4,242.80 = 2,008.43/x
  3. Step 3: Cross multiply
    2,832.66x = 4,242.80 × 2,008.43
  4. Step 4: Simplify right side
    2,832.66x = 8,521,367.37
  5. Step 5: Solve for x
    x = 8,521,367.37/2,832.66
  6. Step 6: Final answer
    x = 3,008.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.