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Finding the Fourth Proportional to 3,406.41, 4,703.67 and 2,149.56

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Solution

The fourth proportional to 3,406.41, 4,703.67 and 2,149.56 is: 2,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.41 : 4,703.67 = 2,149.56 : x
  2. Step 2: Convert to fraction form
    3,406.41/4,703.67 = 2,149.56/x
  3. Step 3: Cross multiply
    3,406.41x = 4,703.67 × 2,149.56
  4. Step 4: Simplify right side
    3,406.41x = 10,110,820.89
  5. Step 5: Solve for x
    x = 10,110,820.89/3,406.41
  6. Step 6: Final answer
    x = 2,968.17

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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.