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Finding the Fourth Proportional to 1,270.73, 1,903.13 and 1,235.70

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Solution

The fourth proportional to 1,270.73, 1,903.13 and 1,235.70 is: 1,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.73 : 1,903.13 = 1,235.70 : x
  2. Step 2: Convert to fraction form
    1,270.73/1,903.13 = 1,235.70/x
  3. Step 3: Cross multiply
    1,270.73x = 1,903.13 × 1,235.70
  4. Step 4: Simplify right side
    1,270.73x = 2,351,697.74
  5. Step 5: Solve for x
    x = 2,351,697.74/1,270.73
  6. Step 6: Final answer
    x = 1,850.67

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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.