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Finding the Fourth Proportional to 2,064.85, 3,097.22 and 504.86

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Solution

The fourth proportional to 2,064.85, 3,097.22 and 504.86 is: 757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.85 : 3,097.22 = 504.86 : x
  2. Step 2: Convert to fraction form
    2,064.85/3,097.22 = 504.86/x
  3. Step 3: Cross multiply
    2,064.85x = 3,097.22 × 504.86
  4. Step 4: Simplify right side
    2,064.85x = 1,563,662.49
  5. Step 5: Solve for x
    x = 1,563,662.49/2,064.85
  6. Step 6: Final answer
    x = 757.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.