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Finding the Fourth Proportional to 2,326.99, 3,211.34 and 1,665.43

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Solution

The fourth proportional to 2,326.99, 3,211.34 and 1,665.43 is: 2,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.99 : 3,211.34 = 1,665.43 : x
  2. Step 2: Convert to fraction form
    2,326.99/3,211.34 = 1,665.43/x
  3. Step 3: Cross multiply
    2,326.99x = 3,211.34 × 1,665.43
  4. Step 4: Simplify right side
    2,326.99x = 5,348,261.98
  5. Step 5: Solve for x
    x = 5,348,261.98/2,326.99
  6. Step 6: Final answer
    x = 2,298.36

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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.