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Finding the Fourth Proportional to 3,193.90, 4,790.81 and 1,742.24

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Solution

The fourth proportional to 3,193.90, 4,790.81 and 1,742.24 is: 2,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.90 : 4,790.81 = 1,742.24 : x
  2. Step 2: Convert to fraction form
    3,193.90/4,790.81 = 1,742.24/x
  3. Step 3: Cross multiply
    3,193.90x = 4,790.81 × 1,742.24
  4. Step 4: Simplify right side
    3,193.90x = 8,346,757.15
  5. Step 5: Solve for x
    x = 8,346,757.15/3,193.90
  6. Step 6: Final answer
    x = 2,613.35

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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.