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Finding the Fourth Proportional to 1,969.51, 2,954.03 and 798.32

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Solution

The fourth proportional to 1,969.51, 2,954.03 and 798.32 is: 1,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.51 : 2,954.03 = 798.32 : x
  2. Step 2: Convert to fraction form
    1,969.51/2,954.03 = 798.32/x
  3. Step 3: Cross multiply
    1,969.51x = 2,954.03 × 798.32
  4. Step 4: Simplify right side
    1,969.51x = 2,358,270.61
  5. Step 5: Solve for x
    x = 2,358,270.61/1,969.51
  6. Step 6: Final answer
    x = 1,197.39

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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.