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Finding the Fourth Proportional to 2,383.68, 3,574.64 and 823.28

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Solution

The fourth proportional to 2,383.68, 3,574.64 and 823.28 is: 1,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.68 : 3,574.64 = 823.28 : x
  2. Step 2: Convert to fraction form
    2,383.68/3,574.64 = 823.28/x
  3. Step 3: Cross multiply
    2,383.68x = 3,574.64 × 823.28
  4. Step 4: Simplify right side
    2,383.68x = 2,942,940.61
  5. Step 5: Solve for x
    x = 2,942,940.61/2,383.68
  6. Step 6: Final answer
    x = 1,234.62

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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.