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Finding the Fourth Proportional to 1,211.32, 1,813.78 and 981.09

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Solution

The fourth proportional to 1,211.32, 1,813.78 and 981.09 is: 1,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.32 : 1,813.78 = 981.09 : x
  2. Step 2: Convert to fraction form
    1,211.32/1,813.78 = 981.09/x
  3. Step 3: Cross multiply
    1,211.32x = 1,813.78 × 981.09
  4. Step 4: Simplify right side
    1,211.32x = 1,779,481.42
  5. Step 5: Solve for x
    x = 1,779,481.42/1,211.32
  6. Step 6: Final answer
    x = 1,469.04

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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.