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Finding the Fourth Proportional to 2,051.69, 3,077.54 and 512.69

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Solution

The fourth proportional to 2,051.69, 3,077.54 and 512.69 is: 769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.69 : 3,077.54 = 512.69 : x
  2. Step 2: Convert to fraction form
    2,051.69/3,077.54 = 512.69/x
  3. Step 3: Cross multiply
    2,051.69x = 3,077.54 × 512.69
  4. Step 4: Simplify right side
    2,051.69x = 1,577,823.98
  5. Step 5: Solve for x
    x = 1,577,823.98/2,051.69
  6. Step 6: Final answer
    x = 769.04

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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.