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Finding the Fourth Proportional to 1,742.25, 2,613.17 and 443.73

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Solution

The fourth proportional to 1,742.25, 2,613.17 and 443.73 is: 665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.25 : 2,613.17 = 443.73 : x
  2. Step 2: Convert to fraction form
    1,742.25/2,613.17 = 443.73/x
  3. Step 3: Cross multiply
    1,742.25x = 2,613.17 × 443.73
  4. Step 4: Simplify right side
    1,742.25x = 1,159,541.92
  5. Step 5: Solve for x
    x = 1,159,541.92/1,742.25
  6. Step 6: Final answer
    x = 665.54

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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.