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Finding the Fourth Proportional to 2,155.88, 3,233.99 and 616.88

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Solution

The fourth proportional to 2,155.88, 3,233.99 and 616.88 is: 925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.88 : 3,233.99 = 616.88 : x
  2. Step 2: Convert to fraction form
    2,155.88/3,233.99 = 616.88/x
  3. Step 3: Cross multiply
    2,155.88x = 3,233.99 × 616.88
  4. Step 4: Simplify right side
    2,155.88x = 1,994,969.12
  5. Step 5: Solve for x
    x = 1,994,969.12/2,155.88
  6. Step 6: Final answer
    x = 925.36

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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.