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Finding the Fourth Proportional to 2,815.47, 4,223.25 and 967.05

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Solution

The fourth proportional to 2,815.47, 4,223.25 and 967.05 is: 1,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.47 : 4,223.25 = 967.05 : x
  2. Step 2: Convert to fraction form
    2,815.47/4,223.25 = 967.05/x
  3. Step 3: Cross multiply
    2,815.47x = 4,223.25 × 967.05
  4. Step 4: Simplify right side
    2,815.47x = 4,084,093.91
  5. Step 5: Solve for x
    x = 4,084,093.91/2,815.47
  6. Step 6: Final answer
    x = 1,450.59

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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.