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Finding the Fourth Proportional to 1,231.74, 1,847.70 and 939.72

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Solution

The fourth proportional to 1,231.74, 1,847.70 and 939.72 is: 1,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.74 : 1,847.70 = 939.72 : x
  2. Step 2: Convert to fraction form
    1,231.74/1,847.70 = 939.72/x
  3. Step 3: Cross multiply
    1,231.74x = 1,847.70 × 939.72
  4. Step 4: Simplify right side
    1,231.74x = 1,736,320.64
  5. Step 5: Solve for x
    x = 1,736,320.64/1,231.74
  6. Step 6: Final answer
    x = 1,409.65

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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.