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Finding the Fourth Proportional to 2,485.92, 3,725.82 and 1,314.12

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Solution

The fourth proportional to 2,485.92, 3,725.82 and 1,314.12 is: 1,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.92 : 3,725.82 = 1,314.12 : x
  2. Step 2: Convert to fraction form
    2,485.92/3,725.82 = 1,314.12/x
  3. Step 3: Cross multiply
    2,485.92x = 3,725.82 × 1,314.12
  4. Step 4: Simplify right side
    2,485.92x = 4,896,174.58
  5. Step 5: Solve for x
    x = 4,896,174.58/2,485.92
  6. Step 6: Final answer
    x = 1,969.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.