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Finding the Fourth Proportional to 2,973.39, 4,105.43 and 1,980.74

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Solution

The fourth proportional to 2,973.39, 4,105.43 and 1,980.74 is: 2,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.39 : 4,105.43 = 1,980.74 : x
  2. Step 2: Convert to fraction form
    2,973.39/4,105.43 = 1,980.74/x
  3. Step 3: Cross multiply
    2,973.39x = 4,105.43 × 1,980.74
  4. Step 4: Simplify right side
    2,973.39x = 8,131,758.99
  5. Step 5: Solve for x
    x = 8,131,758.99/2,973.39
  6. Step 6: Final answer
    x = 2,734.84

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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.