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Finding the Fourth Proportional to 2,811.72, 3,881.12 and 1,928.84

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Solution

The fourth proportional to 2,811.72, 3,881.12 and 1,928.84 is: 2,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.72 : 3,881.12 = 1,928.84 : x
  2. Step 2: Convert to fraction form
    2,811.72/3,881.12 = 1,928.84/x
  3. Step 3: Cross multiply
    2,811.72x = 3,881.12 × 1,928.84
  4. Step 4: Simplify right side
    2,811.72x = 7,486,059.50
  5. Step 5: Solve for x
    x = 7,486,059.50/2,811.72
  6. Step 6: Final answer
    x = 2,662.45

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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.