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Finding the Fourth Proportional to 2,051.70, 3,077.54 and 512.70

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Solution

The fourth proportional to 2,051.70, 3,077.54 and 512.70 is: 769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.70 : 3,077.54 = 512.70 : x
  2. Step 2: Convert to fraction form
    2,051.70/3,077.54 = 512.70/x
  3. Step 3: Cross multiply
    2,051.70x = 3,077.54 × 512.70
  4. Step 4: Simplify right side
    2,051.70x = 1,577,854.76
  5. Step 5: Solve for x
    x = 1,577,854.76/2,051.70
  6. Step 6: Final answer
    x = 769.05

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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.