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Finding the Fourth Proportional to 2,254.64, 3,112.25 and 1,696.73

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Solution

The fourth proportional to 2,254.64, 3,112.25 and 1,696.73 is: 2,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.64 : 3,112.25 = 1,696.73 : x
  2. Step 2: Convert to fraction form
    2,254.64/3,112.25 = 1,696.73/x
  3. Step 3: Cross multiply
    2,254.64x = 3,112.25 × 1,696.73
  4. Step 4: Simplify right side
    2,254.64x = 5,280,623.90
  5. Step 5: Solve for x
    x = 5,280,623.90/2,254.64
  6. Step 6: Final answer
    x = 2,342.12

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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.