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Finding the Fourth Proportional to 2,064.17, 3,096.26 and 504.18

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Solution

The fourth proportional to 2,064.17, 3,096.26 and 504.18 is: 756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.17 : 3,096.26 = 504.18 : x
  2. Step 2: Convert to fraction form
    2,064.17/3,096.26 = 504.18/x
  3. Step 3: Cross multiply
    2,064.17x = 3,096.26 × 504.18
  4. Step 4: Simplify right side
    2,064.17x = 1,561,072.37
  5. Step 5: Solve for x
    x = 1,561,072.37/2,064.17
  6. Step 6: Final answer
    x = 756.27

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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.