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Finding the Fourth Proportional to 1,758.87, 2,636.91 and 1,209.42

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Solution

The fourth proportional to 1,758.87, 2,636.91 and 1,209.42 is: 1,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.87 : 2,636.91 = 1,209.42 : x
  2. Step 2: Convert to fraction form
    1,758.87/2,636.91 = 1,209.42/x
  3. Step 3: Cross multiply
    1,758.87x = 2,636.91 × 1,209.42
  4. Step 4: Simplify right side
    1,758.87x = 3,189,131.69
  5. Step 5: Solve for x
    x = 3,189,131.69/1,758.87
  6. Step 6: Final answer
    x = 1,813.17

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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.