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Finding the Fourth Proportional to 3,174.08, 4,760.88 and 983.36

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Solution

The fourth proportional to 3,174.08, 4,760.88 and 983.36 is: 1,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.08 : 4,760.88 = 983.36 : x
  2. Step 2: Convert to fraction form
    3,174.08/4,760.88 = 983.36/x
  3. Step 3: Cross multiply
    3,174.08x = 4,760.88 × 983.36
  4. Step 4: Simplify right side
    3,174.08x = 4,681,658.96
  5. Step 5: Solve for x
    x = 4,681,658.96/3,174.08
  6. Step 6: Final answer
    x = 1,474.97

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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.