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Finding the Fourth Proportional to 1,682.16, 2,521.81 and 804.16

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Solution

The fourth proportional to 1,682.16, 2,521.81 and 804.16 is: 1,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.16 : 2,521.81 = 804.16 : x
  2. Step 2: Convert to fraction form
    1,682.16/2,521.81 = 804.16/x
  3. Step 3: Cross multiply
    1,682.16x = 2,521.81 × 804.16
  4. Step 4: Simplify right side
    1,682.16x = 2,027,938.73
  5. Step 5: Solve for x
    x = 2,027,938.73/1,682.16
  6. Step 6: Final answer
    x = 1,205.56

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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.