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Finding the Fourth Proportional to 3,051.40, 4,212.12 and 2,003.80

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Solution

The fourth proportional to 3,051.40, 4,212.12 and 2,003.80 is: 2,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.40 : 4,212.12 = 2,003.80 : x
  2. Step 2: Convert to fraction form
    3,051.40/4,212.12 = 2,003.80/x
  3. Step 3: Cross multiply
    3,051.40x = 4,212.12 × 2,003.80
  4. Step 4: Simplify right side
    3,051.40x = 8,440,246.06
  5. Step 5: Solve for x
    x = 8,440,246.06/3,051.40
  6. Step 6: Final answer
    x = 2,766.02

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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.