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Finding the Fourth Proportional to 1,409, 1,945.19 and 937.25

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Solution

The fourth proportional to 1,409, 1,945.19 and 937.25 is: 1,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409 : 1,945.19 = 937.25 : x
  2. Step 2: Convert to fraction form
    1,409/1,945.19 = 937.25/x
  3. Step 3: Cross multiply
    1,409x = 1,945.19 × 937.25
  4. Step 4: Simplify right side
    1,409x = 1,823,129.33
  5. Step 5: Solve for x
    x = 1,823,129.33/1,409
  6. Step 6: Final answer
    x = 1,293.92

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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.