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Finding the Fourth Proportional to 2,491.69, 3,734.33 and 1,256.34

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Solution

The fourth proportional to 2,491.69, 3,734.33 and 1,256.34 is: 1,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.69 : 3,734.33 = 1,256.34 : x
  2. Step 2: Convert to fraction form
    2,491.69/3,734.33 = 1,256.34/x
  3. Step 3: Cross multiply
    2,491.69x = 3,734.33 × 1,256.34
  4. Step 4: Simplify right side
    2,491.69x = 4,691,588.15
  5. Step 5: Solve for x
    x = 4,691,588.15/2,491.69
  6. Step 6: Final answer
    x = 1,882.89

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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.