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Finding the Fourth Proportional to 3,020.25, 4,530.39 and 968.25

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Solution

The fourth proportional to 3,020.25, 4,530.39 and 968.25 is: 1,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.25 : 4,530.39 = 968.25 : x
  2. Step 2: Convert to fraction form
    3,020.25/4,530.39 = 968.25/x
  3. Step 3: Cross multiply
    3,020.25x = 4,530.39 × 968.25
  4. Step 4: Simplify right side
    3,020.25x = 4,386,550.12
  5. Step 5: Solve for x
    x = 4,386,550.12/3,020.25
  6. Step 6: Final answer
    x = 1,452.38

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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.