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Finding the Fourth Proportional to 2,817.02, 4,224.90 and 968.06

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Solution

The fourth proportional to 2,817.02, 4,224.90 and 968.06 is: 1,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.02 : 4,224.90 = 968.06 : x
  2. Step 2: Convert to fraction form
    2,817.02/4,224.90 = 968.06/x
  3. Step 3: Cross multiply
    2,817.02x = 4,224.90 × 968.06
  4. Step 4: Simplify right side
    2,817.02x = 4,089,956.69
  5. Step 5: Solve for x
    x = 4,089,956.69/2,817.02
  6. Step 6: Final answer
    x = 1,451.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.