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Finding the Fourth Proportional to 2,816.46, 4,223.34 and 967.10

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Solution

The fourth proportional to 2,816.46, 4,223.34 and 967.10 is: 1,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.46 : 4,223.34 = 967.10 : x
  2. Step 2: Convert to fraction form
    2,816.46/4,223.34 = 967.10/x
  3. Step 3: Cross multiply
    2,816.46x = 4,223.34 × 967.10
  4. Step 4: Simplify right side
    2,816.46x = 4,084,371.00
  5. Step 5: Solve for x
    x = 4,084,371.00/2,816.46
  6. Step 6: Final answer
    x = 1,450.18

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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.