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Finding the Fourth Proportional to 1,796.58, 2,689.77 and 1,576.02

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Solution

The fourth proportional to 1,796.58, 2,689.77 and 1,576.02 is: 2,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.58 : 2,689.77 = 1,576.02 : x
  2. Step 2: Convert to fraction form
    1,796.58/2,689.77 = 1,576.02/x
  3. Step 3: Cross multiply
    1,796.58x = 2,689.77 × 1,576.02
  4. Step 4: Simplify right side
    1,796.58x = 4,239,131.32
  5. Step 5: Solve for x
    x = 4,239,131.32/1,796.58
  6. Step 6: Final answer
    x = 2,359.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.