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Finding the Fourth Proportional to 3,174.35, 4,760.79 and 1,200.19

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Solution

The fourth proportional to 3,174.35, 4,760.79 and 1,200.19 is: 1,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.35 : 4,760.79 = 1,200.19 : x
  2. Step 2: Convert to fraction form
    3,174.35/4,760.79 = 1,200.19/x
  3. Step 3: Cross multiply
    3,174.35x = 4,760.79 × 1,200.19
  4. Step 4: Simplify right side
    3,174.35x = 5,713,852.55
  5. Step 5: Solve for x
    x = 5,713,852.55/3,174.35
  6. Step 6: Final answer
    x = 1,800.01

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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.