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Finding the Fourth Proportional to 2,408.57, 3,298.86 and 2,266.68

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Solution

The fourth proportional to 2,408.57, 3,298.86 and 2,266.68 is: 3,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.57 : 3,298.86 = 2,266.68 : x
  2. Step 2: Convert to fraction form
    2,408.57/3,298.86 = 2,266.68/x
  3. Step 3: Cross multiply
    2,408.57x = 3,298.86 × 2,266.68
  4. Step 4: Simplify right side
    2,408.57x = 7,477,472.36
  5. Step 5: Solve for x
    x = 7,477,472.36/2,408.57
  6. Step 6: Final answer
    x = 3,104.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.