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Finding the Fourth Proportional to 3,408.98, 4,704.36 and 2,064.65

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Solution

The fourth proportional to 3,408.98, 4,704.36 and 2,064.65 is: 2,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.98 : 4,704.36 = 2,064.65 : x
  2. Step 2: Convert to fraction form
    3,408.98/4,704.36 = 2,064.65/x
  3. Step 3: Cross multiply
    3,408.98x = 4,704.36 × 2,064.65
  4. Step 4: Simplify right side
    3,408.98x = 9,712,856.87
  5. Step 5: Solve for x
    x = 9,712,856.87/3,408.98
  6. Step 6: Final answer
    x = 2,849.20

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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.