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Finding the Fourth Proportional to 2,786, 4,177.38 and 1,225.96

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Solution

The fourth proportional to 2,786, 4,177.38 and 1,225.96 is: 1,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786 : 4,177.38 = 1,225.96 : x
  2. Step 2: Convert to fraction form
    2,786/4,177.38 = 1,225.96/x
  3. Step 3: Cross multiply
    2,786x = 4,177.38 × 1,225.96
  4. Step 4: Simplify right side
    2,786x = 5,121,300.78
  5. Step 5: Solve for x
    x = 5,121,300.78/2,786
  6. Step 6: Final answer
    x = 1,838.23

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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.