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Finding the Fourth Proportional to 1,778.32, 2,453.79 and 1,634.95

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Solution

The fourth proportional to 1,778.32, 2,453.79 and 1,634.95 is: 2,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.32 : 2,453.79 = 1,634.95 : x
  2. Step 2: Convert to fraction form
    1,778.32/2,453.79 = 1,634.95/x
  3. Step 3: Cross multiply
    1,778.32x = 2,453.79 × 1,634.95
  4. Step 4: Simplify right side
    1,778.32x = 4,011,823.96
  5. Step 5: Solve for x
    x = 4,011,823.96/1,778.32
  6. Step 6: Final answer
    x = 2,255.96

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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.