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Finding the Fourth Proportional to 1,711.09, 2,566.40 and 541.19

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Solution

The fourth proportional to 1,711.09, 2,566.40 and 541.19 is: 811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.09 : 2,566.40 = 541.19 : x
  2. Step 2: Convert to fraction form
    1,711.09/2,566.40 = 541.19/x
  3. Step 3: Cross multiply
    1,711.09x = 2,566.40 × 541.19
  4. Step 4: Simplify right side
    1,711.09x = 1,388,913.73
  5. Step 5: Solve for x
    x = 1,388,913.73/1,711.09
  6. Step 6: Final answer
    x = 811.71

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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.