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Finding the Fourth Proportional to 3,175.89, 4,764.65 and 984.65

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Solution

The fourth proportional to 3,175.89, 4,764.65 and 984.65 is: 1,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.89 : 4,764.65 = 984.65 : x
  2. Step 2: Convert to fraction form
    3,175.89/4,764.65 = 984.65/x
  3. Step 3: Cross multiply
    3,175.89x = 4,764.65 × 984.65
  4. Step 4: Simplify right side
    3,175.89x = 4,691,483.88
  5. Step 5: Solve for x
    x = 4,691,483.88/3,175.89
  6. Step 6: Final answer
    x = 1,477.22

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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.