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Finding the Fourth Proportional to 2,772.63, 3,828.06 and 1,778.36

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Solution

The fourth proportional to 2,772.63, 3,828.06 and 1,778.36 is: 2,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.63 : 3,828.06 = 1,778.36 : x
  2. Step 2: Convert to fraction form
    2,772.63/3,828.06 = 1,778.36/x
  3. Step 3: Cross multiply
    2,772.63x = 3,828.06 × 1,778.36
  4. Step 4: Simplify right side
    2,772.63x = 6,807,649.64
  5. Step 5: Solve for x
    x = 6,807,649.64/2,772.63
  6. Step 6: Final answer
    x = 2,455.30

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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.