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Finding the Fourth Proportional to 2,820.34, 3,891.69 and 1,640.50

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Solution

The fourth proportional to 2,820.34, 3,891.69 and 1,640.50 is: 2,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.34 : 3,891.69 = 1,640.50 : x
  2. Step 2: Convert to fraction form
    2,820.34/3,891.69 = 1,640.50/x
  3. Step 3: Cross multiply
    2,820.34x = 3,891.69 × 1,640.50
  4. Step 4: Simplify right side
    2,820.34x = 6,384,317.45
  5. Step 5: Solve for x
    x = 6,384,317.45/2,820.34
  6. Step 6: Final answer
    x = 2,263.67

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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.