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Finding the Fourth Proportional to 2,256.85, 3,114.21 and 1,262.04

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Solution

The fourth proportional to 2,256.85, 3,114.21 and 1,262.04 is: 1,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.85 : 3,114.21 = 1,262.04 : x
  2. Step 2: Convert to fraction form
    2,256.85/3,114.21 = 1,262.04/x
  3. Step 3: Cross multiply
    2,256.85x = 3,114.21 × 1,262.04
  4. Step 4: Simplify right side
    2,256.85x = 3,930,257.59
  5. Step 5: Solve for x
    x = 3,930,257.59/2,256.85
  6. Step 6: Final answer
    x = 1,741.48

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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.