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Finding the Fourth Proportional to 2,865.42, 3,958.65 and 2,450.07

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Solution

The fourth proportional to 2,865.42, 3,958.65 and 2,450.07 is: 3,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.42 : 3,958.65 = 2,450.07 : x
  2. Step 2: Convert to fraction form
    2,865.42/3,958.65 = 2,450.07/x
  3. Step 3: Cross multiply
    2,865.42x = 3,958.65 × 2,450.07
  4. Step 4: Simplify right side
    2,865.42x = 9,698,969.61
  5. Step 5: Solve for x
    x = 9,698,969.61/2,865.42
  6. Step 6: Final answer
    x = 3,384.83

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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.