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Finding the Fourth Proportional to 3,174.49, 4,762.34 and 1,199.81

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Solution

The fourth proportional to 3,174.49, 4,762.34 and 1,199.81 is: 1,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.49 : 4,762.34 = 1,199.81 : x
  2. Step 2: Convert to fraction form
    3,174.49/4,762.34 = 1,199.81/x
  3. Step 3: Cross multiply
    3,174.49x = 4,762.34 × 1,199.81
  4. Step 4: Simplify right side
    3,174.49x = 5,713,873.34
  5. Step 5: Solve for x
    x = 5,713,873.34/3,174.49
  6. Step 6: Final answer
    x = 1,799.94

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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.