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Finding the Fourth Proportional to 2,469.51, 3,408.35 and 1,422.18

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Solution

The fourth proportional to 2,469.51, 3,408.35 and 1,422.18 is: 1,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.51 : 3,408.35 = 1,422.18 : x
  2. Step 2: Convert to fraction form
    2,469.51/3,408.35 = 1,422.18/x
  3. Step 3: Cross multiply
    2,469.51x = 3,408.35 × 1,422.18
  4. Step 4: Simplify right side
    2,469.51x = 4,847,280.09
  5. Step 5: Solve for x
    x = 4,847,280.09/2,469.51
  6. Step 6: Final answer
    x = 1,962.85

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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.