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Finding the Fourth Proportional to 2,155.50, 3,233.28 and 616.50

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Solution

The fourth proportional to 2,155.50, 3,233.28 and 616.50 is: 924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.50 : 3,233.28 = 616.50 : x
  2. Step 2: Convert to fraction form
    2,155.50/3,233.28 = 616.50/x
  3. Step 3: Cross multiply
    2,155.50x = 3,233.28 × 616.50
  4. Step 4: Simplify right side
    2,155.50x = 1,993,317.12
  5. Step 5: Solve for x
    x = 1,993,317.12/2,155.50
  6. Step 6: Final answer
    x = 924.76

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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.