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Finding the Fourth Proportional to 2,715.30, 4,072.41 and 982.98

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Solution

The fourth proportional to 2,715.30, 4,072.41 and 982.98 is: 1,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.30 : 4,072.41 = 982.98 : x
  2. Step 2: Convert to fraction form
    2,715.30/4,072.41 = 982.98/x
  3. Step 3: Cross multiply
    2,715.30x = 4,072.41 × 982.98
  4. Step 4: Simplify right side
    2,715.30x = 4,003,097.58
  5. Step 5: Solve for x
    x = 4,003,097.58/2,715.30
  6. Step 6: Final answer
    x = 1,474.27

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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.