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Finding the Fourth Proportional to 2,576.41, 3,865.33 and 846.25

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Solution

The fourth proportional to 2,576.41, 3,865.33 and 846.25 is: 1,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.41 : 3,865.33 = 846.25 : x
  2. Step 2: Convert to fraction form
    2,576.41/3,865.33 = 846.25/x
  3. Step 3: Cross multiply
    2,576.41x = 3,865.33 × 846.25
  4. Step 4: Simplify right side
    2,576.41x = 3,271,016.19
  5. Step 5: Solve for x
    x = 3,271,016.19/2,576.41
  6. Step 6: Final answer
    x = 1,269.60

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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.