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Finding the Fourth Proportional to 3,143.81, 4,716.49 and 952.54

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Solution

The fourth proportional to 3,143.81, 4,716.49 and 952.54 is: 1,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.81 : 4,716.49 = 952.54 : x
  2. Step 2: Convert to fraction form
    3,143.81/4,716.49 = 952.54/x
  3. Step 3: Cross multiply
    3,143.81x = 4,716.49 × 952.54
  4. Step 4: Simplify right side
    3,143.81x = 4,492,647.91
  5. Step 5: Solve for x
    x = 4,492,647.91/3,143.81
  6. Step 6: Final answer
    x = 1,429.04

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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.