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Finding the Fourth Proportional to 2,704.99, 3,731.80 and 1,642.36

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Solution

The fourth proportional to 2,704.99, 3,731.80 and 1,642.36 is: 2,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.99 : 3,731.80 = 1,642.36 : x
  2. Step 2: Convert to fraction form
    2,704.99/3,731.80 = 1,642.36/x
  3. Step 3: Cross multiply
    2,704.99x = 3,731.80 × 1,642.36
  4. Step 4: Simplify right side
    2,704.99x = 6,128,943.20
  5. Step 5: Solve for x
    x = 6,128,943.20/2,704.99
  6. Step 6: Final answer
    x = 2,265.79

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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.