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Finding the Fourth Proportional to 1,861.11, 2,790.57 and 766.23

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Solution

The fourth proportional to 1,861.11, 2,790.57 and 766.23 is: 1,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.11 : 2,790.57 = 766.23 : x
  2. Step 2: Convert to fraction form
    1,861.11/2,790.57 = 766.23/x
  3. Step 3: Cross multiply
    1,861.11x = 2,790.57 × 766.23
  4. Step 4: Simplify right side
    1,861.11x = 2,138,218.45
  5. Step 5: Solve for x
    x = 2,138,218.45/1,861.11
  6. Step 6: Final answer
    x = 1,148.89

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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.