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Finding the Fourth Proportional to 2,344.27, 3,516 and 784.12

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Solution

The fourth proportional to 2,344.27, 3,516 and 784.12 is: 1,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.27 : 3,516 = 784.12 : x
  2. Step 2: Convert to fraction form
    2,344.27/3,516 = 784.12/x
  3. Step 3: Cross multiply
    2,344.27x = 3,516 × 784.12
  4. Step 4: Simplify right side
    2,344.27x = 2,756,965.92
  5. Step 5: Solve for x
    x = 2,756,965.92/2,344.27
  6. Step 6: Final answer
    x = 1,176.04

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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.