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Finding the Fourth Proportional to 2,197.69, 3,032.82 and 1,638.65

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Solution

The fourth proportional to 2,197.69, 3,032.82 and 1,638.65 is: 2,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.69 : 3,032.82 = 1,638.65 : x
  2. Step 2: Convert to fraction form
    2,197.69/3,032.82 = 1,638.65/x
  3. Step 3: Cross multiply
    2,197.69x = 3,032.82 × 1,638.65
  4. Step 4: Simplify right side
    2,197.69x = 4,969,738.08
  5. Step 5: Solve for x
    x = 4,969,738.08/2,197.69
  6. Step 6: Final answer
    x = 2,261.35

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