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Finding the Fourth Proportional to 1,192.32, 1,790.04 and 1,121.04

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Solution

The fourth proportional to 1,192.32, 1,790.04 and 1,121.04 is: 1,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.32 : 1,790.04 = 1,121.04 : x
  2. Step 2: Convert to fraction form
    1,192.32/1,790.04 = 1,121.04/x
  3. Step 3: Cross multiply
    1,192.32x = 1,790.04 × 1,121.04
  4. Step 4: Simplify right side
    1,192.32x = 2,006,706.44
  5. Step 5: Solve for x
    x = 2,006,706.44/1,192.32
  6. Step 6: Final answer
    x = 1,683.03

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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.