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Finding the Fourth Proportional to 2,043.25, 3,064.92 and 504.25

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Solution

The fourth proportional to 2,043.25, 3,064.92 and 504.25 is: 756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.25 : 3,064.92 = 504.25 : x
  2. Step 2: Convert to fraction form
    2,043.25/3,064.92 = 504.25/x
  3. Step 3: Cross multiply
    2,043.25x = 3,064.92 × 504.25
  4. Step 4: Simplify right side
    2,043.25x = 1,545,485.91
  5. Step 5: Solve for x
    x = 1,545,485.91/2,043.25
  6. Step 6: Final answer
    x = 756.39

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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.