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Finding the Fourth Proportional to 2,048.16, 3,072.24 and 816.16

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Solution

The fourth proportional to 2,048.16, 3,072.24 and 816.16 is: 1,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.16 : 3,072.24 = 816.16 : x
  2. Step 2: Convert to fraction form
    2,048.16/3,072.24 = 816.16/x
  3. Step 3: Cross multiply
    2,048.16x = 3,072.24 × 816.16
  4. Step 4: Simplify right side
    2,048.16x = 2,507,439.40
  5. Step 5: Solve for x
    x = 2,507,439.40/2,048.16
  6. Step 6: Final answer
    x = 1,224.24

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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.