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Finding the Fourth Proportional to 2,984.28, 4,118.04 and 1,639.67

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Solution

The fourth proportional to 2,984.28, 4,118.04 and 1,639.67 is: 2,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.28 : 4,118.04 = 1,639.67 : x
  2. Step 2: Convert to fraction form
    2,984.28/4,118.04 = 1,639.67/x
  3. Step 3: Cross multiply
    2,984.28x = 4,118.04 × 1,639.67
  4. Step 4: Simplify right side
    2,984.28x = 6,752,206.06
  5. Step 5: Solve for x
    x = 6,752,206.06/2,984.28
  6. Step 6: Final answer
    x = 2,262.59

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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.