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Finding the Fourth Proportional to 1,981.29, 2,969.38 and 747.23

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Solution

The fourth proportional to 1,981.29, 2,969.38 and 747.23 is: 1,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.29 : 2,969.38 = 747.23 : x
  2. Step 2: Convert to fraction form
    1,981.29/2,969.38 = 747.23/x
  3. Step 3: Cross multiply
    1,981.29x = 2,969.38 × 747.23
  4. Step 4: Simplify right side
    1,981.29x = 2,218,798.01
  5. Step 5: Solve for x
    x = 2,218,798.01/1,981.29
  6. Step 6: Final answer
    x = 1,119.88

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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.