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Finding the Fourth Proportional to 1,969.47, 2,954.03 and 1,147.23

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Solution

The fourth proportional to 1,969.47, 2,954.03 and 1,147.23 is: 1,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.47 : 2,954.03 = 1,147.23 : x
  2. Step 2: Convert to fraction form
    1,969.47/2,954.03 = 1,147.23/x
  3. Step 3: Cross multiply
    1,969.47x = 2,954.03 × 1,147.23
  4. Step 4: Simplify right side
    1,969.47x = 3,388,946.10
  5. Step 5: Solve for x
    x = 3,388,946.10/1,969.47
  6. Step 6: Final answer
    x = 1,720.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.