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Finding the Fourth Proportional to 1,979.56, 2,969.34 and 824.50

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Solution

The fourth proportional to 1,979.56, 2,969.34 and 824.50 is: 1,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.56 : 2,969.34 = 824.50 : x
  2. Step 2: Convert to fraction form
    1,979.56/2,969.34 = 824.50/x
  3. Step 3: Cross multiply
    1,979.56x = 2,969.34 × 824.50
  4. Step 4: Simplify right side
    1,979.56x = 2,448,220.83
  5. Step 5: Solve for x
    x = 2,448,220.83/1,979.56
  6. Step 6: Final answer
    x = 1,236.75

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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.