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Finding the Fourth Proportional to 2,768.01, 4,156.20 and 2,382.24

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Solution

The fourth proportional to 2,768.01, 4,156.20 and 2,382.24 is: 3,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.01 : 4,156.20 = 2,382.24 : x
  2. Step 2: Convert to fraction form
    2,768.01/4,156.20 = 2,382.24/x
  3. Step 3: Cross multiply
    2,768.01x = 4,156.20 × 2,382.24
  4. Step 4: Simplify right side
    2,768.01x = 9,901,045.11
  5. Step 5: Solve for x
    x = 9,901,045.11/2,768.01
  6. Step 6: Final answer
    x = 3,576.96

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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.