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Finding the Fourth Proportional to 2,434.15, 3,651.99 and 873.08

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Solution

The fourth proportional to 2,434.15, 3,651.99 and 873.08 is: 1,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.15 : 3,651.99 = 873.08 : x
  2. Step 2: Convert to fraction form
    2,434.15/3,651.99 = 873.08/x
  3. Step 3: Cross multiply
    2,434.15x = 3,651.99 × 873.08
  4. Step 4: Simplify right side
    2,434.15x = 3,188,479.43
  5. Step 5: Solve for x
    x = 3,188,479.43/2,434.15
  6. Step 6: Final answer
    x = 1,309.90

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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.