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Finding the Fourth Proportional to 2,051.76, 3,077.62 and 512.76

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Solution

The fourth proportional to 2,051.76, 3,077.62 and 512.76 is: 769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.76 : 3,077.62 = 512.76 : x
  2. Step 2: Convert to fraction form
    2,051.76/3,077.62 = 512.76/x
  3. Step 3: Cross multiply
    2,051.76x = 3,077.62 × 512.76
  4. Step 4: Simplify right side
    2,051.76x = 1,578,080.43
  5. Step 5: Solve for x
    x = 1,578,080.43/2,051.76
  6. Step 6: Final answer
    x = 769.14

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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.