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Finding the Fourth Proportional to 2,072.85, 2,859.96 and 1,442.67

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Solution

The fourth proportional to 2,072.85, 2,859.96 and 1,442.67 is: 1,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.85 : 2,859.96 = 1,442.67 : x
  2. Step 2: Convert to fraction form
    2,072.85/2,859.96 = 1,442.67/x
  3. Step 3: Cross multiply
    2,072.85x = 2,859.96 × 1,442.67
  4. Step 4: Simplify right side
    2,072.85x = 4,125,964.19
  5. Step 5: Solve for x
    x = 4,125,964.19/2,072.85
  6. Step 6: Final answer
    x = 1,990.48

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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.