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Finding the Fourth Proportional to 2,288.80, 3,435.02 and 828.97

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Solution

The fourth proportional to 2,288.80, 3,435.02 and 828.97 is: 1,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.80 : 3,435.02 = 828.97 : x
  2. Step 2: Convert to fraction form
    2,288.80/3,435.02 = 828.97/x
  3. Step 3: Cross multiply
    2,288.80x = 3,435.02 × 828.97
  4. Step 4: Simplify right side
    2,288.80x = 2,847,528.53
  5. Step 5: Solve for x
    x = 2,847,528.53/2,288.80
  6. Step 6: Final answer
    x = 1,244.11

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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.