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Finding the Fourth Proportional to 1,849.67, 2,774.51 and 550.83

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Solution

The fourth proportional to 1,849.67, 2,774.51 and 550.83 is: 826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.67 : 2,774.51 = 550.83 : x
  2. Step 2: Convert to fraction form
    1,849.67/2,774.51 = 550.83/x
  3. Step 3: Cross multiply
    1,849.67x = 2,774.51 × 550.83
  4. Step 4: Simplify right side
    1,849.67x = 1,528,283.34
  5. Step 5: Solve for x
    x = 1,528,283.34/1,849.67
  6. Step 6: Final answer
    x = 826.25

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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.