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Finding the Fourth Proportional to 2,601.84, 3,883.75 and 2,257.60

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Solution

The fourth proportional to 2,601.84, 3,883.75 and 2,257.60 is: 3,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.84 : 3,883.75 = 2,257.60 : x
  2. Step 2: Convert to fraction form
    2,601.84/3,883.75 = 2,257.60/x
  3. Step 3: Cross multiply
    2,601.84x = 3,883.75 × 2,257.60
  4. Step 4: Simplify right side
    2,601.84x = 8,767,954
  5. Step 5: Solve for x
    x = 8,767,954/2,601.84
  6. Step 6: Final answer
    x = 3,369.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.