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Finding the Fourth Proportional to 2,051.91, 3,077.86 and 512.91

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Solution

The fourth proportional to 2,051.91, 3,077.86 and 512.91 is: 769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.91 : 3,077.86 = 512.91 : x
  2. Step 2: Convert to fraction form
    2,051.91/3,077.86 = 512.91/x
  3. Step 3: Cross multiply
    2,051.91x = 3,077.86 × 512.91
  4. Step 4: Simplify right side
    2,051.91x = 1,578,654.27
  5. Step 5: Solve for x
    x = 1,578,654.27/2,051.91
  6. Step 6: Final answer
    x = 769.36

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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.