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Finding the Fourth Proportional to 1,409.33, 1,945.55 and 938.01

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Solution

The fourth proportional to 1,409.33, 1,945.55 and 938.01 is: 1,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.33 : 1,945.55 = 938.01 : x
  2. Step 2: Convert to fraction form
    1,409.33/1,945.55 = 938.01/x
  3. Step 3: Cross multiply
    1,409.33x = 1,945.55 × 938.01
  4. Step 4: Simplify right side
    1,409.33x = 1,824,940.49
  5. Step 5: Solve for x
    x = 1,824,940.49/1,409.33
  6. Step 6: Final answer
    x = 1,294.90

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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.