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Finding the Fourth Proportional to 1,601.51, 2,209.28 and 938.25

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Solution

The fourth proportional to 1,601.51, 2,209.28 and 938.25 is: 1,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.51 : 2,209.28 = 938.25 : x
  2. Step 2: Convert to fraction form
    1,601.51/2,209.28 = 938.25/x
  3. Step 3: Cross multiply
    1,601.51x = 2,209.28 × 938.25
  4. Step 4: Simplify right side
    1,601.51x = 2,072,852.27
  5. Step 5: Solve for x
    x = 2,072,852.27/1,601.51
  6. Step 6: Final answer
    x = 1,294.32

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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.