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Finding the Fourth Proportional to 2,200.86, 3,301.47 and 902.34

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Solution

The fourth proportional to 2,200.86, 3,301.47 and 902.34 is: 1,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.86 : 3,301.47 = 902.34 : x
  2. Step 2: Convert to fraction form
    2,200.86/3,301.47 = 902.34/x
  3. Step 3: Cross multiply
    2,200.86x = 3,301.47 × 902.34
  4. Step 4: Simplify right side
    2,200.86x = 2,979,048.44
  5. Step 5: Solve for x
    x = 2,979,048.44/2,200.86
  6. Step 6: Final answer
    x = 1,353.58

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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.