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Finding the Fourth Proportional to 3,072.90, 4,240 and 1,954.02

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Solution

The fourth proportional to 3,072.90, 4,240 and 1,954.02 is: 2,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.90 : 4,240 = 1,954.02 : x
  2. Step 2: Convert to fraction form
    3,072.90/4,240 = 1,954.02/x
  3. Step 3: Cross multiply
    3,072.90x = 4,240 × 1,954.02
  4. Step 4: Simplify right side
    3,072.90x = 8,285,044.80
  5. Step 5: Solve for x
    x = 8,285,044.80/3,072.90
  6. Step 6: Final answer
    x = 2,696.16

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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.