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Finding the Fourth Proportional to 1,828.41, 2,742.84 and 854.79

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Solution

The fourth proportional to 1,828.41, 2,742.84 and 854.79 is: 1,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.41 : 2,742.84 = 854.79 : x
  2. Step 2: Convert to fraction form
    1,828.41/2,742.84 = 854.79/x
  3. Step 3: Cross multiply
    1,828.41x = 2,742.84 × 854.79
  4. Step 4: Simplify right side
    1,828.41x = 2,344,552.20
  5. Step 5: Solve for x
    x = 2,344,552.20/1,828.41
  6. Step 6: Final answer
    x = 1,282.29

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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.