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Finding the Fourth Proportional to 1,944.79, 2,920.44 and 1,929.67

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Solution

The fourth proportional to 1,944.79, 2,920.44 and 1,929.67 is: 2,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.79 : 2,920.44 = 1,929.67 : x
  2. Step 2: Convert to fraction form
    1,944.79/2,920.44 = 1,929.67/x
  3. Step 3: Cross multiply
    1,944.79x = 2,920.44 × 1,929.67
  4. Step 4: Simplify right side
    1,944.79x = 5,635,485.45
  5. Step 5: Solve for x
    x = 5,635,485.45/1,944.79
  6. Step 6: Final answer
    x = 2,897.73

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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.