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Finding the Fourth Proportional to 3,214.12, 4,821.06 and 905.56

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Solution

The fourth proportional to 3,214.12, 4,821.06 and 905.56 is: 1,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.12 : 4,821.06 = 905.56 : x
  2. Step 2: Convert to fraction form
    3,214.12/4,821.06 = 905.56/x
  3. Step 3: Cross multiply
    3,214.12x = 4,821.06 × 905.56
  4. Step 4: Simplify right side
    3,214.12x = 4,365,759.09
  5. Step 5: Solve for x
    x = 4,365,759.09/3,214.12
  6. Step 6: Final answer
    x = 1,358.31

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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.