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Finding the Fourth Proportional to 2,243.41, 3,365.65 and 704.41

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Solution

The fourth proportional to 2,243.41, 3,365.65 and 704.41 is: 1,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.41 : 3,365.65 = 704.41 : x
  2. Step 2: Convert to fraction form
    2,243.41/3,365.65 = 704.41/x
  3. Step 3: Cross multiply
    2,243.41x = 3,365.65 × 704.41
  4. Step 4: Simplify right side
    2,243.41x = 2,370,795.76
  5. Step 5: Solve for x
    x = 2,370,795.76/2,243.41
  6. Step 6: Final answer
    x = 1,056.78

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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.