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Finding the Fourth Proportional to 3,301.97, 4,556.45 and 1,975.19

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Solution

The fourth proportional to 3,301.97, 4,556.45 and 1,975.19 is: 2,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.97 : 4,556.45 = 1,975.19 : x
  2. Step 2: Convert to fraction form
    3,301.97/4,556.45 = 1,975.19/x
  3. Step 3: Cross multiply
    3,301.97x = 4,556.45 × 1,975.19
  4. Step 4: Simplify right side
    3,301.97x = 8,999,836.63
  5. Step 5: Solve for x
    x = 8,999,836.63/3,301.97
  6. Step 6: Final answer
    x = 2,725.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.