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Finding the Fourth Proportional to 2,333.96, 3,498.72 and 1,100.54

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Solution

The fourth proportional to 2,333.96, 3,498.72 and 1,100.54 is: 1,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.96 : 3,498.72 = 1,100.54 : x
  2. Step 2: Convert to fraction form
    2,333.96/3,498.72 = 1,100.54/x
  3. Step 3: Cross multiply
    2,333.96x = 3,498.72 × 1,100.54
  4. Step 4: Simplify right side
    2,333.96x = 3,850,481.31
  5. Step 5: Solve for x
    x = 3,850,481.31/2,333.96
  6. Step 6: Final answer
    x = 1,649.76

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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.