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Finding the Fourth Proportional to 2,551.96, 3,826.28 and 1,381.22

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Solution

The fourth proportional to 2,551.96, 3,826.28 and 1,381.22 is: 2,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.96 : 3,826.28 = 1,381.22 : x
  2. Step 2: Convert to fraction form
    2,551.96/3,826.28 = 1,381.22/x
  3. Step 3: Cross multiply
    2,551.96x = 3,826.28 × 1,381.22
  4. Step 4: Simplify right side
    2,551.96x = 5,284,934.46
  5. Step 5: Solve for x
    x = 5,284,934.46/2,551.96
  6. Step 6: Final answer
    x = 2,070.93

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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.