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Finding the Fourth Proportional to 2,310.92, 3,189.04 and 1,316.24

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Solution

The fourth proportional to 2,310.92, 3,189.04 and 1,316.24 is: 1,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.92 : 3,189.04 = 1,316.24 : x
  2. Step 2: Convert to fraction form
    2,310.92/3,189.04 = 1,316.24/x
  3. Step 3: Cross multiply
    2,310.92x = 3,189.04 × 1,316.24
  4. Step 4: Simplify right side
    2,310.92x = 4,197,542.01
  5. Step 5: Solve for x
    x = 4,197,542.01/2,310.92
  6. Step 6: Final answer
    x = 1,816.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.