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Finding the Fourth Proportional to 2,282.69, 3,423.96 and 966.08

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Solution

The fourth proportional to 2,282.69, 3,423.96 and 966.08 is: 1,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.69 : 3,423.96 = 966.08 : x
  2. Step 2: Convert to fraction form
    2,282.69/3,423.96 = 966.08/x
  3. Step 3: Cross multiply
    2,282.69x = 3,423.96 × 966.08
  4. Step 4: Simplify right side
    2,282.69x = 3,307,827.84
  5. Step 5: Solve for x
    x = 3,307,827.84/2,282.69
  6. Step 6: Final answer
    x = 1,449.09

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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.