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Finding the Fourth Proportional to 2,738.88, 4,108.86 and 890.28

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Solution

The fourth proportional to 2,738.88, 4,108.86 and 890.28 is: 1,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.88 : 4,108.86 = 890.28 : x
  2. Step 2: Convert to fraction form
    2,738.88/4,108.86 = 890.28/x
  3. Step 3: Cross multiply
    2,738.88x = 4,108.86 × 890.28
  4. Step 4: Simplify right side
    2,738.88x = 3,658,035.88
  5. Step 5: Solve for x
    x = 3,658,035.88/2,738.88
  6. Step 6: Final answer
    x = 1,335.60

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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.