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Finding the Fourth Proportional to 1,828.29, 2,743.56 and 854.49

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Solution

The fourth proportional to 1,828.29, 2,743.56 and 854.49 is: 1,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.29 : 2,743.56 = 854.49 : x
  2. Step 2: Convert to fraction form
    1,828.29/2,743.56 = 854.49/x
  3. Step 3: Cross multiply
    1,828.29x = 2,743.56 × 854.49
  4. Step 4: Simplify right side
    1,828.29x = 2,344,344.58
  5. Step 5: Solve for x
    x = 2,344,344.58/1,828.29
  6. Step 6: Final answer
    x = 1,282.26

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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.