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Finding the Fourth Proportional to 3,048.09, 4,572.30 and 968.26

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Solution

The fourth proportional to 3,048.09, 4,572.30 and 968.26 is: 1,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.09 : 4,572.30 = 968.26 : x
  2. Step 2: Convert to fraction form
    3,048.09/4,572.30 = 968.26/x
  3. Step 3: Cross multiply
    3,048.09x = 4,572.30 × 968.26
  4. Step 4: Simplify right side
    3,048.09x = 4,427,170.52
  5. Step 5: Solve for x
    x = 4,427,170.52/3,048.09
  6. Step 6: Final answer
    x = 1,452.44

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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.