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Finding the Fourth Proportional to 2,817.70, 4,230.60 and 2,202.10

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Solution

The fourth proportional to 2,817.70, 4,230.60 and 2,202.10 is: 3,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.70 : 4,230.60 = 2,202.10 : x
  2. Step 2: Convert to fraction form
    2,817.70/4,230.60 = 2,202.10/x
  3. Step 3: Cross multiply
    2,817.70x = 4,230.60 × 2,202.10
  4. Step 4: Simplify right side
    2,817.70x = 9,316,204.26
  5. Step 5: Solve for x
    x = 9,316,204.26/2,817.70
  6. Step 6: Final answer
    x = 3,306.32

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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.