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Finding the Fourth Proportional to 1,847.27, 2,769.08 and 750.94

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Solution

The fourth proportional to 1,847.27, 2,769.08 and 750.94 is: 1,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.27 : 2,769.08 = 750.94 : x
  2. Step 2: Convert to fraction form
    1,847.27/2,769.08 = 750.94/x
  3. Step 3: Cross multiply
    1,847.27x = 2,769.08 × 750.94
  4. Step 4: Simplify right side
    1,847.27x = 2,079,402.26
  5. Step 5: Solve for x
    x = 2,079,402.26/1,847.27
  6. Step 6: Final answer
    x = 1,125.66

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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.