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Finding the Fourth Proportional to 1,738.80, 2,605.50 and 1,121.99

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Solution

The fourth proportional to 1,738.80, 2,605.50 and 1,121.99 is: 1,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.80 : 2,605.50 = 1,121.99 : x
  2. Step 2: Convert to fraction form
    1,738.80/2,605.50 = 1,121.99/x
  3. Step 3: Cross multiply
    1,738.80x = 2,605.50 × 1,121.99
  4. Step 4: Simplify right side
    1,738.80x = 2,923,331.92
  5. Step 5: Solve for x
    x = 2,923,331.92/1,738.80
  6. Step 6: Final answer
    x = 1,681.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.