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Finding the Fourth Proportional to 1,576.10, 2,178.02 and 1,182.44

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Solution

The fourth proportional to 1,576.10, 2,178.02 and 1,182.44 is: 1,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.10 : 2,178.02 = 1,182.44 : x
  2. Step 2: Convert to fraction form
    1,576.10/2,178.02 = 1,182.44/x
  3. Step 3: Cross multiply
    1,576.10x = 2,178.02 × 1,182.44
  4. Step 4: Simplify right side
    1,576.10x = 2,575,377.97
  5. Step 5: Solve for x
    x = 2,575,377.97/1,576.10
  6. Step 6: Final answer
    x = 1,634.02

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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.