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Finding the Fourth Proportional to 2,399.17, 3,597.21 and 1,012.13

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Solution

The fourth proportional to 2,399.17, 3,597.21 and 1,012.13 is: 1,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.17 : 3,597.21 = 1,012.13 : x
  2. Step 2: Convert to fraction form
    2,399.17/3,597.21 = 1,012.13/x
  3. Step 3: Cross multiply
    2,399.17x = 3,597.21 × 1,012.13
  4. Step 4: Simplify right side
    2,399.17x = 3,640,828.70
  5. Step 5: Solve for x
    x = 3,640,828.70/2,399.17
  6. Step 6: Final answer
    x = 1,517.54

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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.