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Finding the Fourth Proportional to 4,297.96, 6,445.87 and 1,177.98

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Solution

The fourth proportional to 4,297.96, 6,445.87 and 1,177.98 is: 1,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.96 : 6,445.87 = 1,177.98 : x
  2. Step 2: Convert to fraction form
    4,297.96/6,445.87 = 1,177.98/x
  3. Step 3: Cross multiply
    4,297.96x = 6,445.87 × 1,177.98
  4. Step 4: Simplify right side
    4,297.96x = 7,593,105.94
  5. Step 5: Solve for x
    x = 7,593,105.94/4,297.96
  6. Step 6: Final answer
    x = 1,766.68

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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.