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Finding the Fourth Proportional to 2,704.76, 3,731.94 and 1,866.20

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Solution

The fourth proportional to 2,704.76, 3,731.94 and 1,866.20 is: 2,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.76 : 3,731.94 = 1,866.20 : x
  2. Step 2: Convert to fraction form
    2,704.76/3,731.94 = 1,866.20/x
  3. Step 3: Cross multiply
    2,704.76x = 3,731.94 × 1,866.20
  4. Step 4: Simplify right side
    2,704.76x = 6,964,546.43
  5. Step 5: Solve for x
    x = 6,964,546.43/2,704.76
  6. Step 6: Final answer
    x = 2,574.92

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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.