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Finding the Fourth Proportional to 2,816.75, 4,225.62 and 968.06

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Solution

The fourth proportional to 2,816.75, 4,225.62 and 968.06 is: 1,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.75 : 4,225.62 = 968.06 : x
  2. Step 2: Convert to fraction form
    2,816.75/4,225.62 = 968.06/x
  3. Step 3: Cross multiply
    2,816.75x = 4,225.62 × 968.06
  4. Step 4: Simplify right side
    2,816.75x = 4,090,653.70
  5. Step 5: Solve for x
    x = 4,090,653.70/2,816.75
  6. Step 6: Final answer
    x = 1,452.26

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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.