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Finding the Fourth Proportional to 2,333.78, 3,498.43 and 872.54

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Solution

The fourth proportional to 2,333.78, 3,498.43 and 872.54 is: 1,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.78 : 3,498.43 = 872.54 : x
  2. Step 2: Convert to fraction form
    2,333.78/3,498.43 = 872.54/x
  3. Step 3: Cross multiply
    2,333.78x = 3,498.43 × 872.54
  4. Step 4: Simplify right side
    2,333.78x = 3,052,520.11
  5. Step 5: Solve for x
    x = 3,052,520.11/2,333.78
  6. Step 6: Final answer
    x = 1,307.97

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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.