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Finding the Fourth Proportional to 2,257.94, 3,386.94 and 1,161.74

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Solution

The fourth proportional to 2,257.94, 3,386.94 and 1,161.74 is: 1,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.94 : 3,386.94 = 1,161.74 : x
  2. Step 2: Convert to fraction form
    2,257.94/3,386.94 = 1,161.74/x
  3. Step 3: Cross multiply
    2,257.94x = 3,386.94 × 1,161.74
  4. Step 4: Simplify right side
    2,257.94x = 3,934,743.68
  5. Step 5: Solve for x
    x = 3,934,743.68/2,257.94
  6. Step 6: Final answer
    x = 1,742.63

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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.