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Finding the Fourth Proportional to 2,089.76, 3,134.82 and 550.76

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Solution

The fourth proportional to 2,089.76, 3,134.82 and 550.76 is: 826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.76 : 3,134.82 = 550.76 : x
  2. Step 2: Convert to fraction form
    2,089.76/3,134.82 = 550.76/x
  3. Step 3: Cross multiply
    2,089.76x = 3,134.82 × 550.76
  4. Step 4: Simplify right side
    2,089.76x = 1,726,533.46
  5. Step 5: Solve for x
    x = 1,726,533.46/2,089.76
  6. Step 6: Final answer
    x = 826.19

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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.