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Finding the Fourth Proportional to 3,051.76, 4,209.81 and 2,057.36

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Solution

The fourth proportional to 3,051.76, 4,209.81 and 2,057.36 is: 2,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.76 : 4,209.81 = 2,057.36 : x
  2. Step 2: Convert to fraction form
    3,051.76/4,209.81 = 2,057.36/x
  3. Step 3: Cross multiply
    3,051.76x = 4,209.81 × 2,057.36
  4. Step 4: Simplify right side
    3,051.76x = 8,661,077.78
  5. Step 5: Solve for x
    x = 8,661,077.78/3,051.76
  6. Step 6: Final answer
    x = 2,838.06

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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.