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Finding the Fourth Proportional to 1,824.54, 2,738.13 and 729.21

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Solution

The fourth proportional to 1,824.54, 2,738.13 and 729.21 is: 1,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.54 : 2,738.13 = 729.21 : x
  2. Step 2: Convert to fraction form
    1,824.54/2,738.13 = 729.21/x
  3. Step 3: Cross multiply
    1,824.54x = 2,738.13 × 729.21
  4. Step 4: Simplify right side
    1,824.54x = 1,996,671.78
  5. Step 5: Solve for x
    x = 1,996,671.78/1,824.54
  6. Step 6: Final answer
    x = 1,094.34

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1.5x scale

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.