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Finding the Fourth Proportional to 3,249.22, 4,875.75 and 1,605.94

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Solution

The fourth proportional to 3,249.22, 4,875.75 and 1,605.94 is: 2,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.22 : 4,875.75 = 1,605.94 : x
  2. Step 2: Convert to fraction form
    3,249.22/4,875.75 = 1,605.94/x
  3. Step 3: Cross multiply
    3,249.22x = 4,875.75 × 1,605.94
  4. Step 4: Simplify right side
    3,249.22x = 7,830,161.96
  5. Step 5: Solve for x
    x = 7,830,161.96/3,249.22
  6. Step 6: Final answer
    x = 2,409.86

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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.