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Finding the Fourth Proportional to 2,991.59, 4,128.41 and 1,811.82

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Solution

The fourth proportional to 2,991.59, 4,128.41 and 1,811.82 is: 2,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.59 : 4,128.41 = 1,811.82 : x
  2. Step 2: Convert to fraction form
    2,991.59/4,128.41 = 1,811.82/x
  3. Step 3: Cross multiply
    2,991.59x = 4,128.41 × 1,811.82
  4. Step 4: Simplify right side
    2,991.59x = 7,479,935.81
  5. Step 5: Solve for x
    x = 7,479,935.81/2,991.59
  6. Step 6: Final answer
    x = 2,500.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.