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Finding the Fourth Proportional to 3,062.34, 4,226 and 1,665.09

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Solution

The fourth proportional to 3,062.34, 4,226 and 1,665.09 is: 2,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.34 : 4,226 = 1,665.09 : x
  2. Step 2: Convert to fraction form
    3,062.34/4,226 = 1,665.09/x
  3. Step 3: Cross multiply
    3,062.34x = 4,226 × 1,665.09
  4. Step 4: Simplify right side
    3,062.34x = 7,036,670.34
  5. Step 5: Solve for x
    x = 7,036,670.34/3,062.34
  6. Step 6: Final answer
    x = 2,297.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.