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Finding the Fourth Proportional to 2,047.76, 3,055.92 and 1,829.06

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Solution

The fourth proportional to 2,047.76, 3,055.92 and 1,829.06 is: 2,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.76 : 3,055.92 = 1,829.06 : x
  2. Step 2: Convert to fraction form
    2,047.76/3,055.92 = 1,829.06/x
  3. Step 3: Cross multiply
    2,047.76x = 3,055.92 × 1,829.06
  4. Step 4: Simplify right side
    2,047.76x = 5,589,451.89
  5. Step 5: Solve for x
    x = 5,589,451.89/2,047.76
  6. Step 6: Final answer
    x = 2,729.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.