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Finding the Fourth Proportional to 2,712.44, 3,744.08 and 1,928.76

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Solution

The fourth proportional to 2,712.44, 3,744.08 and 1,928.76 is: 2,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.44 : 3,744.08 = 1,928.76 : x
  2. Step 2: Convert to fraction form
    2,712.44/3,744.08 = 1,928.76/x
  3. Step 3: Cross multiply
    2,712.44x = 3,744.08 × 1,928.76
  4. Step 4: Simplify right side
    2,712.44x = 7,221,431.74
  5. Step 5: Solve for x
    x = 7,221,431.74/2,712.44
  6. Step 6: Final answer
    x = 2,662.34

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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.