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Finding the Fourth Proportional to 2,244.40, 3,362.88 and 1,147.25

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Solution

The fourth proportional to 2,244.40, 3,362.88 and 1,147.25 is: 1,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.40 : 3,362.88 = 1,147.25 : x
  2. Step 2: Convert to fraction form
    2,244.40/3,362.88 = 1,147.25/x
  3. Step 3: Cross multiply
    2,244.40x = 3,362.88 × 1,147.25
  4. Step 4: Simplify right side
    2,244.40x = 3,858,076.79
  5. Step 5: Solve for x
    x = 3,858,076.79/2,244.40
  6. Step 6: Final answer
    x = 1,718.98

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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.