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Finding the Fourth Proportional to 2,103.96, 3,155.89 and 717.27

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Solution

The fourth proportional to 2,103.96, 3,155.89 and 717.27 is: 1,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.96 : 3,155.89 = 717.27 : x
  2. Step 2: Convert to fraction form
    2,103.96/3,155.89 = 717.27/x
  3. Step 3: Cross multiply
    2,103.96x = 3,155.89 × 717.27
  4. Step 4: Simplify right side
    2,103.96x = 2,263,625.22
  5. Step 5: Solve for x
    x = 2,263,625.22/2,103.96
  6. Step 6: Final answer
    x = 1,075.89

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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.