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Finding the Fourth Proportional to 2,043.63, 3,065.43 and 504.63

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Solution

The fourth proportional to 2,043.63, 3,065.43 and 504.63 is: 756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.63 : 3,065.43 = 504.63 : x
  2. Step 2: Convert to fraction form
    2,043.63/3,065.43 = 504.63/x
  3. Step 3: Cross multiply
    2,043.63x = 3,065.43 × 504.63
  4. Step 4: Simplify right side
    2,043.63x = 1,546,907.94
  5. Step 5: Solve for x
    x = 1,546,907.94/2,043.63
  6. Step 6: Final answer
    x = 756.94

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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.