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Finding the Fourth Proportional to 3,042.81, 4,199.07 and 1,645.56

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Solution

The fourth proportional to 3,042.81, 4,199.07 and 1,645.56 is: 2,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.81 : 4,199.07 = 1,645.56 : x
  2. Step 2: Convert to fraction form
    3,042.81/4,199.07 = 1,645.56/x
  3. Step 3: Cross multiply
    3,042.81x = 4,199.07 × 1,645.56
  4. Step 4: Simplify right side
    3,042.81x = 6,909,821.63
  5. Step 5: Solve for x
    x = 6,909,821.63/3,042.81
  6. Step 6: Final answer
    x = 2,270.87

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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.