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Finding the Fourth Proportional to 3,280.32, 4,525.74 and 1,954.26

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Solution

The fourth proportional to 3,280.32, 4,525.74 and 1,954.26 is: 2,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.32 : 4,525.74 = 1,954.26 : x
  2. Step 2: Convert to fraction form
    3,280.32/4,525.74 = 1,954.26/x
  3. Step 3: Cross multiply
    3,280.32x = 4,525.74 × 1,954.26
  4. Step 4: Simplify right side
    3,280.32x = 8,844,472.65
  5. Step 5: Solve for x
    x = 8,844,472.65/3,280.32
  6. Step 6: Final answer
    x = 2,696.22

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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.