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Finding the Fourth Proportional to 1,645.97, 2,271.63 and 938.03

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Solution

The fourth proportional to 1,645.97, 2,271.63 and 938.03 is: 1,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.97 : 2,271.63 = 938.03 : x
  2. Step 2: Convert to fraction form
    1,645.97/2,271.63 = 938.03/x
  3. Step 3: Cross multiply
    1,645.97x = 2,271.63 × 938.03
  4. Step 4: Simplify right side
    1,645.97x = 2,130,845.73
  5. Step 5: Solve for x
    x = 2,130,845.73/1,645.97
  6. Step 6: Final answer
    x = 1,294.59

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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.