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Finding the Fourth Proportional to 1,902.45, 2,624.86 and 1,063.06

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Solution

The fourth proportional to 1,902.45, 2,624.86 and 1,063.06 is: 1,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.45 : 2,624.86 = 1,063.06 : x
  2. Step 2: Convert to fraction form
    1,902.45/2,624.86 = 1,063.06/x
  3. Step 3: Cross multiply
    1,902.45x = 2,624.86 × 1,063.06
  4. Step 4: Simplify right side
    1,902.45x = 2,790,375.23
  5. Step 5: Solve for x
    x = 2,790,375.23/1,902.45
  6. Step 6: Final answer
    x = 1,466.73

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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.