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Finding the Fourth Proportional to 2,412.94, 3,610.11 and 2,237.98

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Solution

The fourth proportional to 2,412.94, 3,610.11 and 2,237.98 is: 3,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.94 : 3,610.11 = 2,237.98 : x
  2. Step 2: Convert to fraction form
    2,412.94/3,610.11 = 2,237.98/x
  3. Step 3: Cross multiply
    2,412.94x = 3,610.11 × 2,237.98
  4. Step 4: Simplify right side
    2,412.94x = 8,079,335.93
  5. Step 5: Solve for x
    x = 8,079,335.93/2,412.94
  6. Step 6: Final answer
    x = 3,348.34

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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.