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Finding the Fourth Proportional to 2,011.78, 3,017.40 and 550.99

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Solution

The fourth proportional to 2,011.78, 3,017.40 and 550.99 is: 826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.78 : 3,017.40 = 550.99 : x
  2. Step 2: Convert to fraction form
    2,011.78/3,017.40 = 550.99/x
  3. Step 3: Cross multiply
    2,011.78x = 3,017.40 × 550.99
  4. Step 4: Simplify right side
    2,011.78x = 1,662,557.23
  5. Step 5: Solve for x
    x = 1,662,557.23/2,011.78
  6. Step 6: Final answer
    x = 826.41

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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.