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Finding the Fourth Proportional to 3,143.30, 4,715.16 and 952.19

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Solution

The fourth proportional to 3,143.30, 4,715.16 and 952.19 is: 1,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.30 : 4,715.16 = 952.19 : x
  2. Step 2: Convert to fraction form
    3,143.30/4,715.16 = 952.19/x
  3. Step 3: Cross multiply
    3,143.30x = 4,715.16 × 952.19
  4. Step 4: Simplify right side
    3,143.30x = 4,489,739.99
  5. Step 5: Solve for x
    x = 4,489,739.99/3,143.30
  6. Step 6: Final answer
    x = 1,428.35

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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.