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Finding the Fourth Proportional to 1,979.71, 2,969.88 and 747.23

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Solution

The fourth proportional to 1,979.71, 2,969.88 and 747.23 is: 1,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.71 : 2,969.88 = 747.23 : x
  2. Step 2: Convert to fraction form
    1,979.71/2,969.88 = 747.23/x
  3. Step 3: Cross multiply
    1,979.71x = 2,969.88 × 747.23
  4. Step 4: Simplify right side
    1,979.71x = 2,219,169.98
  5. Step 5: Solve for x
    x = 2,219,169.98/1,979.71
  6. Step 6: Final answer
    x = 1,120.96

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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.