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Finding the Fourth Proportional to 2,504.12, 3,756.59 and 860.27

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Solution

The fourth proportional to 2,504.12, 3,756.59 and 860.27 is: 1,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.12 : 3,756.59 = 860.27 : x
  2. Step 2: Convert to fraction form
    2,504.12/3,756.59 = 860.27/x
  3. Step 3: Cross multiply
    2,504.12x = 3,756.59 × 860.27
  4. Step 4: Simplify right side
    2,504.12x = 3,231,658.60
  5. Step 5: Solve for x
    x = 3,231,658.60/2,504.12
  6. Step 6: Final answer
    x = 1,290.54

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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.