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Finding the Fourth Proportional to 3,175.98, 4,764.10 and 984.72

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Solution

The fourth proportional to 3,175.98, 4,764.10 and 984.72 is: 1,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.98 : 4,764.10 = 984.72 : x
  2. Step 2: Convert to fraction form
    3,175.98/4,764.10 = 984.72/x
  3. Step 3: Cross multiply
    3,175.98x = 4,764.10 × 984.72
  4. Step 4: Simplify right side
    3,175.98x = 4,691,304.55
  5. Step 5: Solve for x
    x = 4,691,304.55/3,175.98
  6. Step 6: Final answer
    x = 1,477.12

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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.