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Finding the Fourth Proportional to 2,243, 3,095.75 and 1,299.40

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Solution

The fourth proportional to 2,243, 3,095.75 and 1,299.40 is: 1,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243 : 3,095.75 = 1,299.40 : x
  2. Step 2: Convert to fraction form
    2,243/3,095.75 = 1,299.40/x
  3. Step 3: Cross multiply
    2,243x = 3,095.75 × 1,299.40
  4. Step 4: Simplify right side
    2,243x = 4,022,617.55
  5. Step 5: Solve for x
    x = 4,022,617.55/2,243
  6. Step 6: Final answer
    x = 1,793.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.