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Finding the Fourth Proportional to 3,377.41, 4,662.35 and 1,980.25

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Solution

The fourth proportional to 3,377.41, 4,662.35 and 1,980.25 is: 2,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.41 : 4,662.35 = 1,980.25 : x
  2. Step 2: Convert to fraction form
    3,377.41/4,662.35 = 1,980.25/x
  3. Step 3: Cross multiply
    3,377.41x = 4,662.35 × 1,980.25
  4. Step 4: Simplify right side
    3,377.41x = 9,232,608.69
  5. Step 5: Solve for x
    x = 9,232,608.69/3,377.41
  6. Step 6: Final answer
    x = 2,733.64

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