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Finding the Fourth Proportional to 2,778.57, 3,835.82 and 2,147.67

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Solution

The fourth proportional to 2,778.57, 3,835.82 and 2,147.67 is: 2,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.57 : 3,835.82 = 2,147.67 : x
  2. Step 2: Convert to fraction form
    2,778.57/3,835.82 = 2,147.67/x
  3. Step 3: Cross multiply
    2,778.57x = 3,835.82 × 2,147.67
  4. Step 4: Simplify right side
    2,778.57x = 8,238,068.83
  5. Step 5: Solve for x
    x = 8,238,068.83/2,778.57
  6. Step 6: Final answer
    x = 2,964.86

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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.