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Finding the Fourth Proportional to 2,784.77, 4,177.61 and 936.05

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Solution

The fourth proportional to 2,784.77, 4,177.61 and 936.05 is: 1,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.77 : 4,177.61 = 936.05 : x
  2. Step 2: Convert to fraction form
    2,784.77/4,177.61 = 936.05/x
  3. Step 3: Cross multiply
    2,784.77x = 4,177.61 × 936.05
  4. Step 4: Simplify right side
    2,784.77x = 3,910,426.27
  5. Step 5: Solve for x
    x = 3,910,426.27/2,784.77
  6. Step 6: Final answer
    x = 1,404.22

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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.