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Finding the Fourth Proportional to 2,190.69, 3,284.89 and 803.67

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Solution

The fourth proportional to 2,190.69, 3,284.89 and 803.67 is: 1,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.69 : 3,284.89 = 803.67 : x
  2. Step 2: Convert to fraction form
    2,190.69/3,284.89 = 803.67/x
  3. Step 3: Cross multiply
    2,190.69x = 3,284.89 × 803.67
  4. Step 4: Simplify right side
    2,190.69x = 2,639,967.55
  5. Step 5: Solve for x
    x = 2,639,967.55/2,190.69
  6. Step 6: Final answer
    x = 1,205.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.