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Finding the Fourth Proportional to 3,448.22, 5,171.42 and 983.18

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Solution

The fourth proportional to 3,448.22, 5,171.42 and 983.18 is: 1,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.22 : 5,171.42 = 983.18 : x
  2. Step 2: Convert to fraction form
    3,448.22/5,171.42 = 983.18/x
  3. Step 3: Cross multiply
    3,448.22x = 5,171.42 × 983.18
  4. Step 4: Simplify right side
    3,448.22x = 5,084,452.10
  5. Step 5: Solve for x
    x = 5,084,452.10/3,448.22
  6. Step 6: Final answer
    x = 1,474.51

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1.5x scale

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.