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Finding the Fourth Proportional to 1,849.89, 2,774.90 and 617.37

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Solution

The fourth proportional to 1,849.89, 2,774.90 and 617.37 is: 926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.89 : 2,774.90 = 617.37 : x
  2. Step 2: Convert to fraction form
    1,849.89/2,774.90 = 617.37/x
  3. Step 3: Cross multiply
    1,849.89x = 2,774.90 × 617.37
  4. Step 4: Simplify right side
    1,849.89x = 1,713,136.93
  5. Step 5: Solve for x
    x = 1,713,136.93/1,849.89
  6. Step 6: Final answer
    x = 926.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.