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Finding the Fourth Proportional to 3,181.71, 4,773.38 and 990.45

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Solution

The fourth proportional to 3,181.71, 4,773.38 and 990.45 is: 1,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.71 : 4,773.38 = 990.45 : x
  2. Step 2: Convert to fraction form
    3,181.71/4,773.38 = 990.45/x
  3. Step 3: Cross multiply
    3,181.71x = 4,773.38 × 990.45
  4. Step 4: Simplify right side
    3,181.71x = 4,727,789.27
  5. Step 5: Solve for x
    x = 4,727,789.27/3,181.71
  6. Step 6: Final answer
    x = 1,485.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.