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Finding the Fourth Proportional to 1,846.98, 2,549.25 and 1,257.75

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Solution

The fourth proportional to 1,846.98, 2,549.25 and 1,257.75 is: 1,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.98 : 2,549.25 = 1,257.75 : x
  2. Step 2: Convert to fraction form
    1,846.98/2,549.25 = 1,257.75/x
  3. Step 3: Cross multiply
    1,846.98x = 2,549.25 × 1,257.75
  4. Step 4: Simplify right side
    1,846.98x = 3,206,319.19
  5. Step 5: Solve for x
    x = 3,206,319.19/1,846.98
  6. Step 6: Final answer
    x = 1,735.98

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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.