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Finding the Fourth Proportional to 2,584.75, 3,576.36 and 2,253.88

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Solution

The fourth proportional to 2,584.75, 3,576.36 and 2,253.88 is: 3,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.75 : 3,576.36 = 2,253.88 : x
  2. Step 2: Convert to fraction form
    2,584.75/3,576.36 = 2,253.88/x
  3. Step 3: Cross multiply
    2,584.75x = 3,576.36 × 2,253.88
  4. Step 4: Simplify right side
    2,584.75x = 8,060,686.28
  5. Step 5: Solve for x
    x = 8,060,686.28/2,584.75
  6. Step 6: Final answer
    x = 3,118.56

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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.