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Finding the Fourth Proportional to 3,453.42, 5,177.31 and 1,605.69

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Solution

The fourth proportional to 3,453.42, 5,177.31 and 1,605.69 is: 2,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.42 : 5,177.31 = 1,605.69 : x
  2. Step 2: Convert to fraction form
    3,453.42/5,177.31 = 1,605.69/x
  3. Step 3: Cross multiply
    3,453.42x = 5,177.31 × 1,605.69
  4. Step 4: Simplify right side
    3,453.42x = 8,313,154.89
  5. Step 5: Solve for x
    x = 8,313,154.89/3,453.42
  6. Step 6: Final answer
    x = 2,407.22

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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.