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Finding the Fourth Proportional to 3,408.48, 4,703.09 and 2,148.66

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Solution

The fourth proportional to 3,408.48, 4,703.09 and 2,148.66 is: 2,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.48 : 4,703.09 = 2,148.66 : x
  2. Step 2: Convert to fraction form
    3,408.48/4,703.09 = 2,148.66/x
  3. Step 3: Cross multiply
    3,408.48x = 4,703.09 × 2,148.66
  4. Step 4: Simplify right side
    3,408.48x = 10,105,330.62
  5. Step 5: Solve for x
    x = 10,105,330.62/3,408.48
  6. Step 6: Final answer
    x = 2,964.76

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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.