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Finding the Fourth Proportional to 1,517.65, 2,276.08 and 543.61

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Solution

The fourth proportional to 1,517.65, 2,276.08 and 543.61 is: 815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.65 : 2,276.08 = 543.61 : x
  2. Step 2: Convert to fraction form
    1,517.65/2,276.08 = 543.61/x
  3. Step 3: Cross multiply
    1,517.65x = 2,276.08 × 543.61
  4. Step 4: Simplify right side
    1,517.65x = 1,237,299.85
  5. Step 5: Solve for x
    x = 1,237,299.85/1,517.65
  6. Step 6: Final answer
    x = 815.27

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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.