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Finding the Fourth Proportional to 2,551.41, 3,826.07 and 795.83

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Solution

The fourth proportional to 2,551.41, 3,826.07 and 795.83 is: 1,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.41 : 3,826.07 = 795.83 : x
  2. Step 2: Convert to fraction form
    2,551.41/3,826.07 = 795.83/x
  3. Step 3: Cross multiply
    2,551.41x = 3,826.07 × 795.83
  4. Step 4: Simplify right side
    2,551.41x = 3,044,881.16
  5. Step 5: Solve for x
    x = 3,044,881.16/2,551.41
  6. Step 6: Final answer
    x = 1,193.41

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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.