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Finding the Fourth Proportional to 2,334.85, 3,497.54 and 1,083.69

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Solution

The fourth proportional to 2,334.85, 3,497.54 and 1,083.69 is: 1,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.85 : 3,497.54 = 1,083.69 : x
  2. Step 2: Convert to fraction form
    2,334.85/3,497.54 = 1,083.69/x
  3. Step 3: Cross multiply
    2,334.85x = 3,497.54 × 1,083.69
  4. Step 4: Simplify right side
    2,334.85x = 3,790,249.12
  5. Step 5: Solve for x
    x = 3,790,249.12/2,334.85
  6. Step 6: Final answer
    x = 1,623.34

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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.