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Finding the Fourth Proportional to 1,984.76, 2,738.97 and 1,100.58

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Solution

The fourth proportional to 1,984.76, 2,738.97 and 1,100.58 is: 1,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.76 : 2,738.97 = 1,100.58 : x
  2. Step 2: Convert to fraction form
    1,984.76/2,738.97 = 1,100.58/x
  3. Step 3: Cross multiply
    1,984.76x = 2,738.97 × 1,100.58
  4. Step 4: Simplify right side
    1,984.76x = 3,014,455.60
  5. Step 5: Solve for x
    x = 3,014,455.60/1,984.76
  6. Step 6: Final answer
    x = 1,518.80

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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.