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Finding the Fourth Proportional to 3,213.54, 4,822.47 and 1,482.21

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Solution

The fourth proportional to 3,213.54, 4,822.47 and 1,482.21 is: 2,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.54 : 4,822.47 = 1,482.21 : x
  2. Step 2: Convert to fraction form
    3,213.54/4,822.47 = 1,482.21/x
  3. Step 3: Cross multiply
    3,213.54x = 4,822.47 × 1,482.21
  4. Step 4: Simplify right side
    3,213.54x = 7,147,913.26
  5. Step 5: Solve for x
    x = 7,147,913.26/3,213.54
  6. Step 6: Final answer
    x = 2,224.31

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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.