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Finding the Fourth Proportional to 2,433.26, 3,649.70 and 952.17

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Solution

The fourth proportional to 2,433.26, 3,649.70 and 952.17 is: 1,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.26 : 3,649.70 = 952.17 : x
  2. Step 2: Convert to fraction form
    2,433.26/3,649.70 = 952.17/x
  3. Step 3: Cross multiply
    2,433.26x = 3,649.70 × 952.17
  4. Step 4: Simplify right side
    2,433.26x = 3,475,130.09
  5. Step 5: Solve for x
    x = 3,475,130.09/2,433.26
  6. Step 6: Final answer
    x = 1,428.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.