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Finding the Fourth Proportional to 2,909.18, 4,359.18 and 1,736.30

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Solution

The fourth proportional to 2,909.18, 4,359.18 and 1,736.30 is: 2,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.18 : 4,359.18 = 1,736.30 : x
  2. Step 2: Convert to fraction form
    2,909.18/4,359.18 = 1,736.30/x
  3. Step 3: Cross multiply
    2,909.18x = 4,359.18 × 1,736.30
  4. Step 4: Simplify right side
    2,909.18x = 7,568,844.23
  5. Step 5: Solve for x
    x = 7,568,844.23/2,909.18
  6. Step 6: Final answer
    x = 2,601.71

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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.