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Finding the Fourth Proportional to 1,467.88, 2,202.72 and 811.06

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Solution

The fourth proportional to 1,467.88, 2,202.72 and 811.06 is: 1,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.88 : 2,202.72 = 811.06 : x
  2. Step 2: Convert to fraction form
    1,467.88/2,202.72 = 811.06/x
  3. Step 3: Cross multiply
    1,467.88x = 2,202.72 × 811.06
  4. Step 4: Simplify right side
    1,467.88x = 1,786,538.08
  5. Step 5: Solve for x
    x = 1,786,538.08/1,467.88
  6. Step 6: Final answer
    x = 1,217.09

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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.