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Finding the Fourth Proportional to 1,984.63, 2,738.86 and 1,338.74

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Solution

The fourth proportional to 1,984.63, 2,738.86 and 1,338.74 is: 1,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.63 : 2,738.86 = 1,338.74 : x
  2. Step 2: Convert to fraction form
    1,984.63/2,738.86 = 1,338.74/x
  3. Step 3: Cross multiply
    1,984.63x = 2,738.86 × 1,338.74
  4. Step 4: Simplify right side
    1,984.63x = 3,666,617.58
  5. Step 5: Solve for x
    x = 3,666,617.58/1,984.63
  6. Step 6: Final answer
    x = 1,847.51

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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.