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Finding the Fourth Proportional to 3,378, 4,662.18 and 1,980.76

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Solution

The fourth proportional to 3,378, 4,662.18 and 1,980.76 is: 2,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378 : 4,662.18 = 1,980.76 : x
  2. Step 2: Convert to fraction form
    3,378/4,662.18 = 1,980.76/x
  3. Step 3: Cross multiply
    3,378x = 4,662.18 × 1,980.76
  4. Step 4: Simplify right side
    3,378x = 9,234,659.66
  5. Step 5: Solve for x
    x = 9,234,659.66/3,378
  6. Step 6: Final answer
    x = 2,733.77

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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.