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Finding the Fourth Proportional to 2,284.18, 3,423.49 and 967.42

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Solution

The fourth proportional to 2,284.18, 3,423.49 and 967.42 is: 1,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.18 : 3,423.49 = 967.42 : x
  2. Step 2: Convert to fraction form
    2,284.18/3,423.49 = 967.42/x
  3. Step 3: Cross multiply
    2,284.18x = 3,423.49 × 967.42
  4. Step 4: Simplify right side
    2,284.18x = 3,311,952.70
  5. Step 5: Solve for x
    x = 3,311,952.70/2,284.18
  6. Step 6: Final answer
    x = 1,449.95

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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.