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Finding the Fourth Proportional to 1,698.03, 2,343.23 and 952.03

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Solution

The fourth proportional to 1,698.03, 2,343.23 and 952.03 is: 1,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.03 : 2,343.23 = 952.03 : x
  2. Step 2: Convert to fraction form
    1,698.03/2,343.23 = 952.03/x
  3. Step 3: Cross multiply
    1,698.03x = 2,343.23 × 952.03
  4. Step 4: Simplify right side
    1,698.03x = 2,230,825.26
  5. Step 5: Solve for x
    x = 2,230,825.26/1,698.03
  6. Step 6: Final answer
    x = 1,313.78

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1.5x scale

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.