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Finding the Fourth Proportional to 1,516.92, 2,275.38 and 543.09

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Solution

The fourth proportional to 1,516.92, 2,275.38 and 543.09 is: 814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.92 : 2,275.38 = 543.09 : x
  2. Step 2: Convert to fraction form
    1,516.92/2,275.38 = 543.09/x
  3. Step 3: Cross multiply
    1,516.92x = 2,275.38 × 543.09
  4. Step 4: Simplify right side
    1,516.92x = 1,235,736.12
  5. Step 5: Solve for x
    x = 1,235,736.12/1,516.92
  6. Step 6: Final answer
    x = 814.64

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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.