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Finding the Fourth Proportional to 1,847.30, 2,769.17 and 613.84

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Solution

The fourth proportional to 1,847.30, 2,769.17 and 613.84 is: 920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.30 : 2,769.17 = 613.84 : x
  2. Step 2: Convert to fraction form
    1,847.30/2,769.17 = 613.84/x
  3. Step 3: Cross multiply
    1,847.30x = 2,769.17 × 613.84
  4. Step 4: Simplify right side
    1,847.30x = 1,699,827.31
  5. Step 5: Solve for x
    x = 1,699,827.31/1,847.30
  6. Step 6: Final answer
    x = 920.17

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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.