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Finding the Fourth Proportional to 1,929.55, 2,894.44 and 543

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Solution

The fourth proportional to 1,929.55, 2,894.44 and 543 is: 814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.55 : 2,894.44 = 543 : x
  2. Step 2: Convert to fraction form
    1,929.55/2,894.44 = 543/x
  3. Step 3: Cross multiply
    1,929.55x = 2,894.44 × 543
  4. Step 4: Simplify right side
    1,929.55x = 1,571,680.92
  5. Step 5: Solve for x
    x = 1,571,680.92/1,929.55
  6. Step 6: Final answer
    x = 814.53

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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.