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Finding the Fourth Proportional to 1,693.49, 2,336.97 and 937.23

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Solution

The fourth proportional to 1,693.49, 2,336.97 and 937.23 is: 1,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.49 : 2,336.97 = 937.23 : x
  2. Step 2: Convert to fraction form
    1,693.49/2,336.97 = 937.23/x
  3. Step 3: Cross multiply
    1,693.49x = 2,336.97 × 937.23
  4. Step 4: Simplify right side
    1,693.49x = 2,190,267.04
  5. Step 5: Solve for x
    x = 2,190,267.04/1,693.49
  6. Step 6: Final answer
    x = 1,293.34

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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.