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Finding the Fourth Proportional to 3,291.97, 4,543.03 and 2,032.98

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Solution

The fourth proportional to 3,291.97, 4,543.03 and 2,032.98 is: 2,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.97 : 4,543.03 = 2,032.98 : x
  2. Step 2: Convert to fraction form
    3,291.97/4,543.03 = 2,032.98/x
  3. Step 3: Cross multiply
    3,291.97x = 4,543.03 × 2,032.98
  4. Step 4: Simplify right side
    3,291.97x = 9,235,889.13
  5. Step 5: Solve for x
    x = 9,235,889.13/3,291.97
  6. Step 6: Final answer
    x = 2,805.58

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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.