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Finding the Fourth Proportional to 2,114.67, 3,172.16 and 654.86

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Solution

The fourth proportional to 2,114.67, 3,172.16 and 654.86 is: 982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.67 : 3,172.16 = 654.86 : x
  2. Step 2: Convert to fraction form
    2,114.67/3,172.16 = 654.86/x
  3. Step 3: Cross multiply
    2,114.67x = 3,172.16 × 654.86
  4. Step 4: Simplify right side
    2,114.67x = 2,077,301.56
  5. Step 5: Solve for x
    x = 2,077,301.56/2,114.67
  6. Step 6: Final answer
    x = 982.33

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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.