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Finding the Fourth Proportional to 2,103.82, 3,155.49 and 717.16

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Solution

The fourth proportional to 2,103.82, 3,155.49 and 717.16 is: 1,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.82 : 3,155.49 = 717.16 : x
  2. Step 2: Convert to fraction form
    2,103.82/3,155.49 = 717.16/x
  3. Step 3: Cross multiply
    2,103.82x = 3,155.49 × 717.16
  4. Step 4: Simplify right side
    2,103.82x = 2,262,991.21
  5. Step 5: Solve for x
    x = 2,262,991.21/2,103.82
  6. Step 6: Final answer
    x = 1,075.66

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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.