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Finding the Fourth Proportional to 4,244.34, 6,369 and 1,778.96

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Solution

The fourth proportional to 4,244.34, 6,369 and 1,778.96 is: 2,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.34 : 6,369 = 1,778.96 : x
  2. Step 2: Convert to fraction form
    4,244.34/6,369 = 1,778.96/x
  3. Step 3: Cross multiply
    4,244.34x = 6,369 × 1,778.96
  4. Step 4: Simplify right side
    4,244.34x = 11,330,196.24
  5. Step 5: Solve for x
    x = 11,330,196.24/4,244.34
  6. Step 6: Final answer
    x = 2,669.48

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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.