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Finding the Fourth Proportional to 1,849.96, 2,773.79 and 617.05

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Solution

The fourth proportional to 1,849.96, 2,773.79 and 617.05 is: 925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.96 : 2,773.79 = 617.05 : x
  2. Step 2: Convert to fraction form
    1,849.96/2,773.79 = 617.05/x
  3. Step 3: Cross multiply
    1,849.96x = 2,773.79 × 617.05
  4. Step 4: Simplify right side
    1,849.96x = 1,711,550.17
  5. Step 5: Solve for x
    x = 1,711,550.17/1,849.96
  6. Step 6: Final answer
    x = 925.18

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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.