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Finding the Fourth Proportional to 1,576.97, 2,354.36 and 1,204.82

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Solution

The fourth proportional to 1,576.97, 2,354.36 and 1,204.82 is: 1,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.97 : 2,354.36 = 1,204.82 : x
  2. Step 2: Convert to fraction form
    1,576.97/2,354.36 = 1,204.82/x
  3. Step 3: Cross multiply
    1,576.97x = 2,354.36 × 1,204.82
  4. Step 4: Simplify right side
    1,576.97x = 2,836,585.90
  5. Step 5: Solve for x
    x = 2,836,585.90/1,576.97
  6. Step 6: Final answer
    x = 1,798.76

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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.