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Finding the Fourth Proportional to 1,788.24, 2,682.72 and 813.84

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Solution

The fourth proportional to 1,788.24, 2,682.72 and 813.84 is: 1,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.24 : 2,682.72 = 813.84 : x
  2. Step 2: Convert to fraction form
    1,788.24/2,682.72 = 813.84/x
  3. Step 3: Cross multiply
    1,788.24x = 2,682.72 × 813.84
  4. Step 4: Simplify right side
    1,788.24x = 2,183,304.84
  5. Step 5: Solve for x
    x = 2,183,304.84/1,788.24
  6. Step 6: Final answer
    x = 1,220.92

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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.