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Finding the Fourth Proportional to 3,107.72, 4,289.26 and 1,782.28

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Solution

The fourth proportional to 3,107.72, 4,289.26 and 1,782.28 is: 2,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.72 : 4,289.26 = 1,782.28 : x
  2. Step 2: Convert to fraction form
    3,107.72/4,289.26 = 1,782.28/x
  3. Step 3: Cross multiply
    3,107.72x = 4,289.26 × 1,782.28
  4. Step 4: Simplify right side
    3,107.72x = 7,644,662.31
  5. Step 5: Solve for x
    x = 7,644,662.31/3,107.72
  6. Step 6: Final answer
    x = 2,459.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.