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Finding the Fourth Proportional to 2,786.25, 4,177.76 and 936.35

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Solution

The fourth proportional to 2,786.25, 4,177.76 and 936.35 is: 1,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.25 : 4,177.76 = 936.35 : x
  2. Step 2: Convert to fraction form
    2,786.25/4,177.76 = 936.35/x
  3. Step 3: Cross multiply
    2,786.25x = 4,177.76 × 936.35
  4. Step 4: Simplify right side
    2,786.25x = 3,911,820.01
  5. Step 5: Solve for x
    x = 3,911,820.01/2,786.25
  6. Step 6: Final answer
    x = 1,403.97

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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.