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Finding the Fourth Proportional to 1,235.74, 1,846.36 and 1,192.67

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Solution

The fourth proportional to 1,235.74, 1,846.36 and 1,192.67 is: 1,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.74 : 1,846.36 = 1,192.67 : x
  2. Step 2: Convert to fraction form
    1,235.74/1,846.36 = 1,192.67/x
  3. Step 3: Cross multiply
    1,235.74x = 1,846.36 × 1,192.67
  4. Step 4: Simplify right side
    1,235.74x = 2,202,107.75
  5. Step 5: Solve for x
    x = 2,202,107.75/1,235.74
  6. Step 6: Final answer
    x = 1,782.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.