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Finding the Fourth Proportional to 3,048.28, 4,573.44 and 968.64

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Solution

The fourth proportional to 3,048.28, 4,573.44 and 968.64 is: 1,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.28 : 4,573.44 = 968.64 : x
  2. Step 2: Convert to fraction form
    3,048.28/4,573.44 = 968.64/x
  3. Step 3: Cross multiply
    3,048.28x = 4,573.44 × 968.64
  4. Step 4: Simplify right side
    3,048.28x = 4,430,016.92
  5. Step 5: Solve for x
    x = 4,430,016.92/3,048.28
  6. Step 6: Final answer
    x = 1,453.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.