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Finding the Fourth Proportional to 2,711.58, 4,064.97 and 1,171.74

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Solution

The fourth proportional to 2,711.58, 4,064.97 and 1,171.74 is: 1,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.58 : 4,064.97 = 1,171.74 : x
  2. Step 2: Convert to fraction form
    2,711.58/4,064.97 = 1,171.74/x
  3. Step 3: Cross multiply
    2,711.58x = 4,064.97 × 1,171.74
  4. Step 4: Simplify right side
    2,711.58x = 4,763,087.95
  5. Step 5: Solve for x
    x = 4,763,087.95/2,711.58
  6. Step 6: Final answer
    x = 1,756.57

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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.