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Finding the Fourth Proportional to 1,824.74, 2,738.45 and 729.43

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Solution

The fourth proportional to 1,824.74, 2,738.45 and 729.43 is: 1,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.74 : 2,738.45 = 729.43 : x
  2. Step 2: Convert to fraction form
    1,824.74/2,738.45 = 729.43/x
  3. Step 3: Cross multiply
    1,824.74x = 2,738.45 × 729.43
  4. Step 4: Simplify right side
    1,824.74x = 1,997,490.24
  5. Step 5: Solve for x
    x = 1,997,490.24/1,824.74
  6. Step 6: Final answer
    x = 1,094.67

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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.