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Finding the Fourth Proportional to 1,902.76, 2,855.58 and 1,391.08

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Solution

The fourth proportional to 1,902.76, 2,855.58 and 1,391.08 is: 2,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.76 : 2,855.58 = 1,391.08 : x
  2. Step 2: Convert to fraction form
    1,902.76/2,855.58 = 1,391.08/x
  3. Step 3: Cross multiply
    1,902.76x = 2,855.58 × 1,391.08
  4. Step 4: Simplify right side
    1,902.76x = 3,972,340.23
  5. Step 5: Solve for x
    x = 3,972,340.23/1,902.76
  6. Step 6: Final answer
    x = 2,087.67

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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.