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Finding the Fourth Proportional to 1,929.82, 2,894.43 and 543.01

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Solution

The fourth proportional to 1,929.82, 2,894.43 and 543.01 is: 814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.82 : 2,894.43 = 543.01 : x
  2. Step 2: Convert to fraction form
    1,929.82/2,894.43 = 543.01/x
  3. Step 3: Cross multiply
    1,929.82x = 2,894.43 × 543.01
  4. Step 4: Simplify right side
    1,929.82x = 1,571,704.43
  5. Step 5: Solve for x
    x = 1,571,704.43/1,929.82
  6. Step 6: Final answer
    x = 814.43

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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.