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Finding the Fourth Proportional to 2,344.44, 3,512.72 and 1,417.17

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Solution

The fourth proportional to 2,344.44, 3,512.72 and 1,417.17 is: 2,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.44 : 3,512.72 = 1,417.17 : x
  2. Step 2: Convert to fraction form
    2,344.44/3,512.72 = 1,417.17/x
  3. Step 3: Cross multiply
    2,344.44x = 3,512.72 × 1,417.17
  4. Step 4: Simplify right side
    2,344.44x = 4,978,120.27
  5. Step 5: Solve for x
    x = 4,978,120.27/2,344.44
  6. Step 6: Final answer
    x = 2,123.37

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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.