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Finding the Fourth Proportional to 3,438.25, 4,746.02 and 2,041

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Solution

The fourth proportional to 3,438.25, 4,746.02 and 2,041 is: 2,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.25 : 4,746.02 = 2,041 : x
  2. Step 2: Convert to fraction form
    3,438.25/4,746.02 = 2,041/x
  3. Step 3: Cross multiply
    3,438.25x = 4,746.02 × 2,041
  4. Step 4: Simplify right side
    3,438.25x = 9,686,626.82
  5. Step 5: Solve for x
    x = 9,686,626.82/3,438.25
  6. Step 6: Final answer
    x = 2,817.31

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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.