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Finding the Fourth Proportional to 2,134.89, 3,202.76 and 902.29

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Solution

The fourth proportional to 2,134.89, 3,202.76 and 902.29 is: 1,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.89 : 3,202.76 = 902.29 : x
  2. Step 2: Convert to fraction form
    2,134.89/3,202.76 = 902.29/x
  3. Step 3: Cross multiply
    2,134.89x = 3,202.76 × 902.29
  4. Step 4: Simplify right side
    2,134.89x = 2,889,818.32
  5. Step 5: Solve for x
    x = 2,889,818.32/2,134.89
  6. Step 6: Final answer
    x = 1,353.61

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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.