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Finding the Fourth Proportional to 3,179.48, 4,769.73 and 988.72

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Solution

The fourth proportional to 3,179.48, 4,769.73 and 988.72 is: 1,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.48 : 4,769.73 = 988.72 : x
  2. Step 2: Convert to fraction form
    3,179.48/4,769.73 = 988.72/x
  3. Step 3: Cross multiply
    3,179.48x = 4,769.73 × 988.72
  4. Step 4: Simplify right side
    3,179.48x = 4,715,915.52
  5. Step 5: Solve for x
    x = 4,715,915.52/3,179.48
  6. Step 6: Final answer
    x = 1,483.24

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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.