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Finding the Fourth Proportional to 2,208.63, 3,313.06 and 821.65

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Solution

The fourth proportional to 2,208.63, 3,313.06 and 821.65 is: 1,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.63 : 3,313.06 = 821.65 : x
  2. Step 2: Convert to fraction form
    2,208.63/3,313.06 = 821.65/x
  3. Step 3: Cross multiply
    2,208.63x = 3,313.06 × 821.65
  4. Step 4: Simplify right side
    2,208.63x = 2,722,175.75
  5. Step 5: Solve for x
    x = 2,722,175.75/2,208.63
  6. Step 6: Final answer
    x = 1,232.52

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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.