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Finding the Fourth Proportional to 2,199.02, 3,300.03 and 966.77

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Solution

The fourth proportional to 2,199.02, 3,300.03 and 966.77 is: 1,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.02 : 3,300.03 = 966.77 : x
  2. Step 2: Convert to fraction form
    2,199.02/3,300.03 = 966.77/x
  3. Step 3: Cross multiply
    2,199.02x = 3,300.03 × 966.77
  4. Step 4: Simplify right side
    2,199.02x = 3,190,353.50
  5. Step 5: Solve for x
    x = 3,190,353.50/2,199.02
  6. Step 6: Final answer
    x = 1,450.81

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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.