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Finding the Fourth Proportional to 3,207.03, 4,810.45 and 867.26

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Solution

The fourth proportional to 3,207.03, 4,810.45 and 867.26 is: 1,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.03 : 4,810.45 = 867.26 : x
  2. Step 2: Convert to fraction form
    3,207.03/4,810.45 = 867.26/x
  3. Step 3: Cross multiply
    3,207.03x = 4,810.45 × 867.26
  4. Step 4: Simplify right side
    3,207.03x = 4,171,910.87
  5. Step 5: Solve for x
    x = 4,171,910.87/3,207.03
  6. Step 6: Final answer
    x = 1,300.86

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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.