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Finding the Fourth Proportional to 2,469.69, 3,408.14 and 1,421.75

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Solution

The fourth proportional to 2,469.69, 3,408.14 and 1,421.75 is: 1,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.69 : 3,408.14 = 1,421.75 : x
  2. Step 2: Convert to fraction form
    2,469.69/3,408.14 = 1,421.75/x
  3. Step 3: Cross multiply
    2,469.69x = 3,408.14 × 1,421.75
  4. Step 4: Simplify right side
    2,469.69x = 4,845,535.12
  5. Step 5: Solve for x
    x = 4,845,535.12/2,469.69
  6. Step 6: Final answer
    x = 1,962.00

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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.