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Finding the Fourth Proportional to 2,576.66, 3,865.32 and 821.09

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Solution

The fourth proportional to 2,576.66, 3,865.32 and 821.09 is: 1,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.66 : 3,865.32 = 821.09 : x
  2. Step 2: Convert to fraction form
    2,576.66/3,865.32 = 821.09/x
  3. Step 3: Cross multiply
    2,576.66x = 3,865.32 × 821.09
  4. Step 4: Simplify right side
    2,576.66x = 3,173,763.52
  5. Step 5: Solve for x
    x = 3,173,763.52/2,576.66
  6. Step 6: Final answer
    x = 1,231.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.