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Finding the Fourth Proportional to 2,976.98, 4,111.74 and 1,980.47

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Solution

The fourth proportional to 2,976.98, 4,111.74 and 1,980.47 is: 2,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.98 : 4,111.74 = 1,980.47 : x
  2. Step 2: Convert to fraction form
    2,976.98/4,111.74 = 1,980.47/x
  3. Step 3: Cross multiply
    2,976.98x = 4,111.74 × 1,980.47
  4. Step 4: Simplify right side
    2,976.98x = 8,143,188.00
  5. Step 5: Solve for x
    x = 8,143,188.00/2,976.98
  6. Step 6: Final answer
    x = 2,735.39

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Why These Related Problems?

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