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Finding the Fourth Proportional to 2,197.83, 3,032.74 and 1,450.41

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Solution

The fourth proportional to 2,197.83, 3,032.74 and 1,450.41 is: 2,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.83 : 3,032.74 = 1,450.41 : x
  2. Step 2: Convert to fraction form
    2,197.83/3,032.74 = 1,450.41/x
  3. Step 3: Cross multiply
    2,197.83x = 3,032.74 × 1,450.41
  4. Step 4: Simplify right side
    2,197.83x = 4,398,706.86
  5. Step 5: Solve for x
    x = 4,398,706.86/2,197.83
  6. Step 6: Final answer
    x = 2,001.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.