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Finding the Fourth Proportional to 2,784.38, 4,175.96 and 810

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Solution

The fourth proportional to 2,784.38, 4,175.96 and 810 is: 1,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.38 : 4,175.96 = 810 : x
  2. Step 2: Convert to fraction form
    2,784.38/4,175.96 = 810/x
  3. Step 3: Cross multiply
    2,784.38x = 4,175.96 × 810
  4. Step 4: Simplify right side
    2,784.38x = 3,382,523.55
  5. Step 5: Solve for x
    x = 3,382,523.55/2,784.38
  6. Step 6: Final answer
    x = 1,214.82

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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.