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Finding the Fourth Proportional to 2,134.78, 3,202.17 and 1,333.59

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Solution

The fourth proportional to 2,134.78, 3,202.17 and 1,333.59 is: 2,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.78 : 3,202.17 = 1,333.59 : x
  2. Step 2: Convert to fraction form
    2,134.78/3,202.17 = 1,333.59/x
  3. Step 3: Cross multiply
    2,134.78x = 3,202.17 × 1,333.59
  4. Step 4: Simplify right side
    2,134.78x = 4,270,364.88
  5. Step 5: Solve for x
    x = 4,270,364.88/2,134.78
  6. Step 6: Final answer
    x = 2,000.38

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