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Finding the Fourth Proportional to 2,817.12, 4,225.90 and 968.34

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Solution

The fourth proportional to 2,817.12, 4,225.90 and 968.34 is: 1,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.12 : 4,225.90 = 968.34 : x
  2. Step 2: Convert to fraction form
    2,817.12/4,225.90 = 968.34/x
  3. Step 3: Cross multiply
    2,817.12x = 4,225.90 × 968.34
  4. Step 4: Simplify right side
    2,817.12x = 4,092,108.01
  5. Step 5: Solve for x
    x = 4,092,108.01/2,817.12
  6. Step 6: Final answer
    x = 1,452.59

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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.