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Finding the Fourth Proportional to 2,815.74, 4,222.59 and 966.39

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Solution

The fourth proportional to 2,815.74, 4,222.59 and 966.39 is: 1,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.74 : 4,222.59 = 966.39 : x
  2. Step 2: Convert to fraction form
    2,815.74/4,222.59 = 966.39/x
  3. Step 3: Cross multiply
    2,815.74x = 4,222.59 × 966.39
  4. Step 4: Simplify right side
    2,815.74x = 4,080,668.75
  5. Step 5: Solve for x
    x = 4,080,668.75/2,815.74
  6. Step 6: Final answer
    x = 1,449.23

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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.