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Finding the Fourth Proportional to 2,242.62, 3,362.04 and 1,267.38

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Solution

The fourth proportional to 2,242.62, 3,362.04 and 1,267.38 is: 1,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.62 : 3,362.04 = 1,267.38 : x
  2. Step 2: Convert to fraction form
    2,242.62/3,362.04 = 1,267.38/x
  3. Step 3: Cross multiply
    2,242.62x = 3,362.04 × 1,267.38
  4. Step 4: Simplify right side
    2,242.62x = 4,260,982.26
  5. Step 5: Solve for x
    x = 4,260,982.26/2,242.62
  6. Step 6: Final answer
    x = 1,900.00

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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.