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Finding the Fourth Proportional to 3,051.62, 4,209.98 and 2,057.22

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Solution

The fourth proportional to 3,051.62, 4,209.98 and 2,057.22 is: 2,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.62 : 4,209.98 = 2,057.22 : x
  2. Step 2: Convert to fraction form
    3,051.62/4,209.98 = 2,057.22/x
  3. Step 3: Cross multiply
    3,051.62x = 4,209.98 × 2,057.22
  4. Step 4: Simplify right side
    3,051.62x = 8,660,844.77
  5. Step 5: Solve for x
    x = 8,660,844.77/3,051.62
  6. Step 6: Final answer
    x = 2,838.12

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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.