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Finding the Fourth Proportional to 3,408.50, 4,703.77 and 2,064.09

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Solution

The fourth proportional to 3,408.50, 4,703.77 and 2,064.09 is: 2,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.50 : 4,703.77 = 2,064.09 : x
  2. Step 2: Convert to fraction form
    3,408.50/4,703.77 = 2,064.09/x
  3. Step 3: Cross multiply
    3,408.50x = 4,703.77 × 2,064.09
  4. Step 4: Simplify right side
    3,408.50x = 9,708,981.10
  5. Step 5: Solve for x
    x = 9,708,981.10/3,408.50
  6. Step 6: Final answer
    x = 2,848.46

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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.