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Finding the Fourth Proportional to 1,698.23, 2,343.50 and 952.22

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Solution

The fourth proportional to 1,698.23, 2,343.50 and 952.22 is: 1,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.23 : 2,343.50 = 952.22 : x
  2. Step 2: Convert to fraction form
    1,698.23/2,343.50 = 952.22/x
  3. Step 3: Cross multiply
    1,698.23x = 2,343.50 × 952.22
  4. Step 4: Simplify right side
    1,698.23x = 2,231,527.57
  5. Step 5: Solve for x
    x = 2,231,527.57/1,698.23
  6. Step 6: Final answer
    x = 1,314.03

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Why These Related Problems?

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