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Finding the Fourth Proportional to 1,472.22, 2,204.04 and 854.04

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Solution

The fourth proportional to 1,472.22, 2,204.04 and 854.04 is: 1,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.22 : 2,204.04 = 854.04 : x
  2. Step 2: Convert to fraction form
    1,472.22/2,204.04 = 854.04/x
  3. Step 3: Cross multiply
    1,472.22x = 2,204.04 × 854.04
  4. Step 4: Simplify right side
    1,472.22x = 1,882,338.32
  5. Step 5: Solve for x
    x = 1,882,338.32/1,472.22
  6. Step 6: Final answer
    x = 1,278.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.