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Finding the Fourth Proportional to 3,169.34, 4,377.34 and 2,421.64

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Solution

The fourth proportional to 3,169.34, 4,377.34 and 2,421.64 is: 3,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.34 : 4,377.34 = 2,421.64 : x
  2. Step 2: Convert to fraction form
    3,169.34/4,377.34 = 2,421.64/x
  3. Step 3: Cross multiply
    3,169.34x = 4,377.34 × 2,421.64
  4. Step 4: Simplify right side
    3,169.34x = 10,600,341.64
  5. Step 5: Solve for x
    x = 10,600,341.64/3,169.34
  6. Step 6: Final answer
    x = 3,344.65

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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.