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Finding the Fourth Proportional to 2,433.42, 3,649.98 and 952.38

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Solution

The fourth proportional to 2,433.42, 3,649.98 and 952.38 is: 1,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.42 : 3,649.98 = 952.38 : x
  2. Step 2: Convert to fraction form
    2,433.42/3,649.98 = 952.38/x
  3. Step 3: Cross multiply
    2,433.42x = 3,649.98 × 952.38
  4. Step 4: Simplify right side
    2,433.42x = 3,476,167.95
  5. Step 5: Solve for x
    x = 3,476,167.95/2,433.42
  6. Step 6: Final answer
    x = 1,428.51

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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.