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Finding the Fourth Proportional to 2,770.02, 4,155.90 and 1,209.30

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Solution

The fourth proportional to 2,770.02, 4,155.90 and 1,209.30 is: 1,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.02 : 4,155.90 = 1,209.30 : x
  2. Step 2: Convert to fraction form
    2,770.02/4,155.90 = 1,209.30/x
  3. Step 3: Cross multiply
    2,770.02x = 4,155.90 × 1,209.30
  4. Step 4: Simplify right side
    2,770.02x = 5,025,729.87
  5. Step 5: Solve for x
    x = 5,025,729.87/2,770.02
  6. Step 6: Final answer
    x = 1,814.33

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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.