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Finding the Fourth Proportional to 2,455.31, 3,683.22 and 812.15

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Solution

The fourth proportional to 2,455.31, 3,683.22 and 812.15 is: 1,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.31 : 3,683.22 = 812.15 : x
  2. Step 2: Convert to fraction form
    2,455.31/3,683.22 = 812.15/x
  3. Step 3: Cross multiply
    2,455.31x = 3,683.22 × 812.15
  4. Step 4: Simplify right side
    2,455.31x = 2,991,323.06
  5. Step 5: Solve for x
    x = 2,991,323.06/2,455.31
  6. Step 6: Final answer
    x = 1,218.31

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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.