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Finding the Fourth Proportional to 2,128.04, 3,190.79 and 811.88

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Solution

The fourth proportional to 2,128.04, 3,190.79 and 811.88 is: 1,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.04 : 3,190.79 = 811.88 : x
  2. Step 2: Convert to fraction form
    2,128.04/3,190.79 = 811.88/x
  3. Step 3: Cross multiply
    2,128.04x = 3,190.79 × 811.88
  4. Step 4: Simplify right side
    2,128.04x = 2,590,518.57
  5. Step 5: Solve for x
    x = 2,590,518.57/2,128.04
  6. Step 6: Final answer
    x = 1,217.33

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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.