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Finding the Fourth Proportional to 3,262.06, 4,893.04 and 1,314.22

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Solution

The fourth proportional to 3,262.06, 4,893.04 and 1,314.22 is: 1,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.06 : 4,893.04 = 1,314.22 : x
  2. Step 2: Convert to fraction form
    3,262.06/4,893.04 = 1,314.22/x
  3. Step 3: Cross multiply
    3,262.06x = 4,893.04 × 1,314.22
  4. Step 4: Simplify right side
    3,262.06x = 6,430,531.03
  5. Step 5: Solve for x
    x = 6,430,531.03/3,262.06
  6. Step 6: Final answer
    x = 1,971.31

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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.