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Finding the Fourth Proportional to 2,303.69, 3,178.98 and 1,255.73

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Solution

The fourth proportional to 2,303.69, 3,178.98 and 1,255.73 is: 1,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.69 : 3,178.98 = 1,255.73 : x
  2. Step 2: Convert to fraction form
    2,303.69/3,178.98 = 1,255.73/x
  3. Step 3: Cross multiply
    2,303.69x = 3,178.98 × 1,255.73
  4. Step 4: Simplify right side
    2,303.69x = 3,991,940.56
  5. Step 5: Solve for x
    x = 3,991,940.56/2,303.69
  6. Step 6: Final answer
    x = 1,732.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.