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Finding the Fourth Proportional to 2,154.91, 3,233 and 694.02

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Solution

The fourth proportional to 2,154.91, 3,233 and 694.02 is: 1,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.91 : 3,233 = 694.02 : x
  2. Step 2: Convert to fraction form
    2,154.91/3,233 = 694.02/x
  3. Step 3: Cross multiply
    2,154.91x = 3,233 × 694.02
  4. Step 4: Simplify right side
    2,154.91x = 2,243,766.66
  5. Step 5: Solve for x
    x = 2,243,766.66/2,154.91
  6. Step 6: Final answer
    x = 1,041.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.