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Finding the Fourth Proportional to 3,144.34, 4,716.51 and 953.29

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Solution

The fourth proportional to 3,144.34, 4,716.51 and 953.29 is: 1,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.34 : 4,716.51 = 953.29 : x
  2. Step 2: Convert to fraction form
    3,144.34/4,716.51 = 953.29/x
  3. Step 3: Cross multiply
    3,144.34x = 4,716.51 × 953.29
  4. Step 4: Simplify right side
    3,144.34x = 4,496,201.82
  5. Step 5: Solve for x
    x = 4,496,201.82/3,144.34
  6. Step 6: Final answer
    x = 1,429.94

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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.