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Finding the Fourth Proportional to 2,233.05, 3,342.90 and 2,180.01

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Solution

The fourth proportional to 2,233.05, 3,342.90 and 2,180.01 is: 3,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.05 : 3,342.90 = 2,180.01 : x
  2. Step 2: Convert to fraction form
    2,233.05/3,342.90 = 2,180.01/x
  3. Step 3: Cross multiply
    2,233.05x = 3,342.90 × 2,180.01
  4. Step 4: Simplify right side
    2,233.05x = 7,287,555.43
  5. Step 5: Solve for x
    x = 7,287,555.43/2,233.05
  6. Step 6: Final answer
    x = 3,263.50

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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.