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Finding the Fourth Proportional to 2,369.75, 3,268.56 and 2,054.45

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Solution

The fourth proportional to 2,369.75, 3,268.56 and 2,054.45 is: 2,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.75 : 3,268.56 = 2,054.45 : x
  2. Step 2: Convert to fraction form
    2,369.75/3,268.56 = 2,054.45/x
  3. Step 3: Cross multiply
    2,369.75x = 3,268.56 × 2,054.45
  4. Step 4: Simplify right side
    2,369.75x = 6,715,082.35
  5. Step 5: Solve for x
    x = 6,715,082.35/2,369.75
  6. Step 6: Final answer
    x = 2,833.67

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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.