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Finding the Fourth Proportional to 2,408.67, 3,606.75 and 2,064.21

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Solution

The fourth proportional to 2,408.67, 3,606.75 and 2,064.21 is: 3,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.67 : 3,606.75 = 2,064.21 : x
  2. Step 2: Convert to fraction form
    2,408.67/3,606.75 = 2,064.21/x
  3. Step 3: Cross multiply
    2,408.67x = 3,606.75 × 2,064.21
  4. Step 4: Simplify right side
    2,408.67x = 7,445,089.42
  5. Step 5: Solve for x
    x = 7,445,089.42/2,408.67
  6. Step 6: Final answer
    x = 3,090.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.