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Finding the Fourth Proportional to 1,849.78, 2,774.34 and 550.93

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Solution

The fourth proportional to 1,849.78, 2,774.34 and 550.93 is: 826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.78 : 2,774.34 = 550.93 : x
  2. Step 2: Convert to fraction form
    1,849.78/2,774.34 = 550.93/x
  3. Step 3: Cross multiply
    1,849.78x = 2,774.34 × 550.93
  4. Step 4: Simplify right side
    1,849.78x = 1,528,467.14
  5. Step 5: Solve for x
    x = 1,528,467.14/1,849.78
  6. Step 6: Final answer
    x = 826.30

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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.