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Finding the Fourth Proportional to 2,469.02, 3,406.86 and 1,420.88

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Solution

The fourth proportional to 2,469.02, 3,406.86 and 1,420.88 is: 1,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.02 : 3,406.86 = 1,420.88 : x
  2. Step 2: Convert to fraction form
    2,469.02/3,406.86 = 1,420.88/x
  3. Step 3: Cross multiply
    2,469.02x = 3,406.86 × 1,420.88
  4. Step 4: Simplify right side
    2,469.02x = 4,840,722.20
  5. Step 5: Solve for x
    x = 4,840,722.20/2,469.02
  6. Step 6: Final answer
    x = 1,960.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.