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Finding the Fourth Proportional to 1,981.24, 2,971.89 and 749.23

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Solution

The fourth proportional to 1,981.24, 2,971.89 and 749.23 is: 1,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.24 : 2,971.89 = 749.23 : x
  2. Step 2: Convert to fraction form
    1,981.24/2,971.89 = 749.23/x
  3. Step 3: Cross multiply
    1,981.24x = 2,971.89 × 749.23
  4. Step 4: Simplify right side
    1,981.24x = 2,226,629.14
  5. Step 5: Solve for x
    x = 2,226,629.14/1,981.24
  6. Step 6: Final answer
    x = 1,123.86

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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.