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Finding the Fourth Proportional to 2,469.37, 3,408.02 and 1,421.63

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Solution

The fourth proportional to 2,469.37, 3,408.02 and 1,421.63 is: 1,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.37 : 3,408.02 = 1,421.63 : x
  2. Step 2: Convert to fraction form
    2,469.37/3,408.02 = 1,421.63/x
  3. Step 3: Cross multiply
    2,469.37x = 3,408.02 × 1,421.63
  4. Step 4: Simplify right side
    2,469.37x = 4,844,955.55
  5. Step 5: Solve for x
    x = 4,844,955.55/2,469.37
  6. Step 6: Final answer
    x = 1,962.02

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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.