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Finding the Fourth Proportional to 2,738.72, 3,772.88 and 2,263.52

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Solution

The fourth proportional to 2,738.72, 3,772.88 and 2,263.52 is: 3,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.72 : 3,772.88 = 2,263.52 : x
  2. Step 2: Convert to fraction form
    2,738.72/3,772.88 = 2,263.52/x
  3. Step 3: Cross multiply
    2,738.72x = 3,772.88 × 2,263.52
  4. Step 4: Simplify right side
    2,738.72x = 8,539,989.34
  5. Step 5: Solve for x
    x = 8,539,989.34/2,738.72
  6. Step 6: Final answer
    x = 3,118.24

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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.