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Finding the Fourth Proportional to 1,828.22, 2,742.96 and 854.42

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Solution

The fourth proportional to 1,828.22, 2,742.96 and 854.42 is: 1,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.22 : 2,742.96 = 854.42 : x
  2. Step 2: Convert to fraction form
    1,828.22/2,742.96 = 854.42/x
  3. Step 3: Cross multiply
    1,828.22x = 2,742.96 × 854.42
  4. Step 4: Simplify right side
    1,828.22x = 2,343,639.88
  5. Step 5: Solve for x
    x = 2,343,639.88/1,828.22
  6. Step 6: Final answer
    x = 1,281.92

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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.