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Finding the Fourth Proportional to 2,583.60, 3,871.26 and 2,515.26

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Solution

The fourth proportional to 2,583.60, 3,871.26 and 2,515.26 is: 3,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.60 : 3,871.26 = 2,515.26 : x
  2. Step 2: Convert to fraction form
    2,583.60/3,871.26 = 2,515.26/x
  3. Step 3: Cross multiply
    2,583.60x = 3,871.26 × 2,515.26
  4. Step 4: Simplify right side
    2,583.60x = 9,737,225.43
  5. Step 5: Solve for x
    x = 9,737,225.43/2,583.60
  6. Step 6: Final answer
    x = 3,768.86

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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.