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Finding the Fourth Proportional to 2,588.75, 3,883.11 and 1,549.04

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Solution

The fourth proportional to 2,588.75, 3,883.11 and 1,549.04 is: 2,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.75 : 3,883.11 = 1,549.04 : x
  2. Step 2: Convert to fraction form
    2,588.75/3,883.11 = 1,549.04/x
  3. Step 3: Cross multiply
    2,588.75x = 3,883.11 × 1,549.04
  4. Step 4: Simplify right side
    2,588.75x = 6,015,089.33
  5. Step 5: Solve for x
    x = 6,015,089.33/2,588.75
  6. Step 6: Final answer
    x = 2,323.55

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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.