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Finding the Fourth Proportional to 2,576.64, 3,553.94 and 2,181.94

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Solution

The fourth proportional to 2,576.64, 3,553.94 and 2,181.94 is: 3,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.64 : 3,553.94 = 2,181.94 : x
  2. Step 2: Convert to fraction form
    2,576.64/3,553.94 = 2,181.94/x
  3. Step 3: Cross multiply
    2,576.64x = 3,553.94 × 2,181.94
  4. Step 4: Simplify right side
    2,576.64x = 7,754,480.41
  5. Step 5: Solve for x
    x = 7,754,480.41/2,576.64
  6. Step 6: Final answer
    x = 3,009.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.