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Finding the Fourth Proportional to 2,154.72, 3,229.52 and 998

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Solution

The fourth proportional to 2,154.72, 3,229.52 and 998 is: 1,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.72 : 3,229.52 = 998 : x
  2. Step 2: Convert to fraction form
    2,154.72/3,229.52 = 998/x
  3. Step 3: Cross multiply
    2,154.72x = 3,229.52 × 998
  4. Step 4: Simplify right side
    2,154.72x = 3,223,060.96
  5. Step 5: Solve for x
    x = 3,223,060.96/2,154.72
  6. Step 6: Final answer
    x = 1,495.81

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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.