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Finding the Fourth Proportional to 2,043.12, 3,064.70 and 504.12

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Solution

The fourth proportional to 2,043.12, 3,064.70 and 504.12 is: 756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.12 : 3,064.70 = 504.12 : x
  2. Step 2: Convert to fraction form
    2,043.12/3,064.70 = 504.12/x
  3. Step 3: Cross multiply
    2,043.12x = 3,064.70 × 504.12
  4. Step 4: Simplify right side
    2,043.12x = 1,544,976.56
  5. Step 5: Solve for x
    x = 1,544,976.56/2,043.12
  6. Step 6: Final answer
    x = 756.18

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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.