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Finding the Fourth Proportional to 1,849.83, 2,774.72 and 617.33

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Solution

The fourth proportional to 1,849.83, 2,774.72 and 617.33 is: 925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.83 : 2,774.72 = 617.33 : x
  2. Step 2: Convert to fraction form
    1,849.83/2,774.72 = 617.33/x
  3. Step 3: Cross multiply
    1,849.83x = 2,774.72 × 617.33
  4. Step 4: Simplify right side
    1,849.83x = 1,712,900.94
  5. Step 5: Solve for x
    x = 1,712,900.94/1,849.83
  6. Step 6: Final answer
    x = 925.98

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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.