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Finding the Fourth Proportional to 2,203.81, 3,306.62 and 1,164.98

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Solution

The fourth proportional to 2,203.81, 3,306.62 and 1,164.98 is: 1,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.81 : 3,306.62 = 1,164.98 : x
  2. Step 2: Convert to fraction form
    2,203.81/3,306.62 = 1,164.98/x
  3. Step 3: Cross multiply
    2,203.81x = 3,306.62 × 1,164.98
  4. Step 4: Simplify right side
    2,203.81x = 3,852,157.35
  5. Step 5: Solve for x
    x = 3,852,157.35/2,203.81
  6. Step 6: Final answer
    x = 1,747.96

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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.