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Finding the Fourth Proportional to 1,698.50, 2,343.89 and 952.44

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Solution

The fourth proportional to 1,698.50, 2,343.89 and 952.44 is: 1,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.50 : 2,343.89 = 952.44 : x
  2. Step 2: Convert to fraction form
    1,698.50/2,343.89 = 952.44/x
  3. Step 3: Cross multiply
    1,698.50x = 2,343.89 × 952.44
  4. Step 4: Simplify right side
    1,698.50x = 2,232,414.59
  5. Step 5: Solve for x
    x = 2,232,414.59/1,698.50
  6. Step 6: Final answer
    x = 1,314.34

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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.