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Finding the Fourth Proportional to 2,474.63, 3,412.10 and 1,975.67

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Solution

The fourth proportional to 2,474.63, 3,412.10 and 1,975.67 is: 2,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.63 : 3,412.10 = 1,975.67 : x
  2. Step 2: Convert to fraction form
    2,474.63/3,412.10 = 1,975.67/x
  3. Step 3: Cross multiply
    2,474.63x = 3,412.10 × 1,975.67
  4. Step 4: Simplify right side
    2,474.63x = 6,741,173.73
  5. Step 5: Solve for x
    x = 6,741,173.73/2,474.63
  6. Step 6: Final answer
    x = 2,724.11

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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.