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Finding the Fourth Proportional to 1,864.36, 2,797.08 and 824.32

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Solution

The fourth proportional to 1,864.36, 2,797.08 and 824.32 is: 1,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.36 : 2,797.08 = 824.32 : x
  2. Step 2: Convert to fraction form
    1,864.36/2,797.08 = 824.32/x
  3. Step 3: Cross multiply
    1,864.36x = 2,797.08 × 824.32
  4. Step 4: Simplify right side
    1,864.36x = 2,305,688.99
  5. Step 5: Solve for x
    x = 2,305,688.99/1,864.36
  6. Step 6: Final answer
    x = 1,236.72

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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.