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Finding the Fourth Proportional to 4,297.90, 6,447.19 and 1,832.74

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Solution

The fourth proportional to 4,297.90, 6,447.19 and 1,832.74 is: 2,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.90 : 6,447.19 = 1,832.74 : x
  2. Step 2: Convert to fraction form
    4,297.90/6,447.19 = 1,832.74/x
  3. Step 3: Cross multiply
    4,297.90x = 6,447.19 × 1,832.74
  4. Step 4: Simplify right side
    4,297.90x = 11,815,981.60
  5. Step 5: Solve for x
    x = 11,815,981.60/4,297.90
  6. Step 6: Final answer
    x = 2,749.25

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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.