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Finding the Fourth Proportional to 3,444, 5,162.52 and 1,980.24

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Solution

The fourth proportional to 3,444, 5,162.52 and 1,980.24 is: 2,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444 : 5,162.52 = 1,980.24 : x
  2. Step 2: Convert to fraction form
    3,444/5,162.52 = 1,980.24/x
  3. Step 3: Cross multiply
    3,444x = 5,162.52 × 1,980.24
  4. Step 4: Simplify right side
    3,444x = 10,223,028.60
  5. Step 5: Solve for x
    x = 10,223,028.60/3,444
  6. Step 6: Final answer
    x = 2,968.36

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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.