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Finding the Fourth Proportional to 2,407.98, 3,605.82 and 2,133.24

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Solution

The fourth proportional to 2,407.98, 3,605.82 and 2,133.24 is: 3,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.98 : 3,605.82 = 2,133.24 : x
  2. Step 2: Convert to fraction form
    2,407.98/3,605.82 = 2,133.24/x
  3. Step 3: Cross multiply
    2,407.98x = 3,605.82 × 2,133.24
  4. Step 4: Simplify right side
    2,407.98x = 7,692,057.94
  5. Step 5: Solve for x
    x = 7,692,057.94/2,407.98
  6. Step 6: Final answer
    x = 3,194.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.