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Finding the Fourth Proportional to 2,155.59, 3,233.30 and 616.59

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Solution

The fourth proportional to 2,155.59, 3,233.30 and 616.59 is: 924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.59 : 3,233.30 = 616.59 : x
  2. Step 2: Convert to fraction form
    2,155.59/3,233.30 = 616.59/x
  3. Step 3: Cross multiply
    2,155.59x = 3,233.30 × 616.59
  4. Step 4: Simplify right side
    2,155.59x = 1,993,617.36
  5. Step 5: Solve for x
    x = 1,993,617.36/2,155.59
  6. Step 6: Final answer
    x = 924.86

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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.