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Finding the Fourth Proportional to 2,169.55, 3,014.09 and 2,149.30

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Solution

The fourth proportional to 2,169.55, 3,014.09 and 2,149.30 is: 2,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.55 : 3,014.09 = 2,149.30 : x
  2. Step 2: Convert to fraction form
    2,169.55/3,014.09 = 2,149.30/x
  3. Step 3: Cross multiply
    2,169.55x = 3,014.09 × 2,149.30
  4. Step 4: Simplify right side
    2,169.55x = 6,478,183.64
  5. Step 5: Solve for x
    x = 6,478,183.64/2,169.55
  6. Step 6: Final answer
    x = 2,985.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.