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Finding the Fourth Proportional to 1,247.44, 1,869.54 and 1,228

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Solution

The fourth proportional to 1,247.44, 1,869.54 and 1,228 is: 1,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.44 : 1,869.54 = 1,228 : x
  2. Step 2: Convert to fraction form
    1,247.44/1,869.54 = 1,228/x
  3. Step 3: Cross multiply
    1,247.44x = 1,869.54 × 1,228
  4. Step 4: Simplify right side
    1,247.44x = 2,295,795.12
  5. Step 5: Solve for x
    x = 2,295,795.12/1,247.44
  6. Step 6: Final answer
    x = 1,840.41

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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.