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Finding the Fourth Proportional to 2,412.04, 3,617.73 and 952.24

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Solution

The fourth proportional to 2,412.04, 3,617.73 and 952.24 is: 1,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.04 : 3,617.73 = 952.24 : x
  2. Step 2: Convert to fraction form
    2,412.04/3,617.73 = 952.24/x
  3. Step 3: Cross multiply
    2,412.04x = 3,617.73 × 952.24
  4. Step 4: Simplify right side
    2,412.04x = 3,444,947.22
  5. Step 5: Solve for x
    x = 3,444,947.22/2,412.04
  6. Step 6: Final answer
    x = 1,428.23

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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.