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Finding the Fourth Proportional to 3,407.41, 4,698.91 and 2,212.80

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Solution

The fourth proportional to 3,407.41, 4,698.91 and 2,212.80 is: 3,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.41 : 4,698.91 = 2,212.80 : x
  2. Step 2: Convert to fraction form
    3,407.41/4,698.91 = 2,212.80/x
  3. Step 3: Cross multiply
    3,407.41x = 4,698.91 × 2,212.80
  4. Step 4: Simplify right side
    3,407.41x = 10,397,748.05
  5. Step 5: Solve for x
    x = 10,397,748.05/3,407.41
  6. Step 6: Final answer
    x = 3,051.51

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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.