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Finding the Fourth Proportional to 3,174.59, 4,382.09 and 2,584.10

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Solution

The fourth proportional to 3,174.59, 4,382.09 and 2,584.10 is: 3,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.59 : 4,382.09 = 2,584.10 : x
  2. Step 2: Convert to fraction form
    3,174.59/4,382.09 = 2,584.10/x
  3. Step 3: Cross multiply
    3,174.59x = 4,382.09 × 2,584.10
  4. Step 4: Simplify right side
    3,174.59x = 11,323,723.94
  5. Step 5: Solve for x
    x = 11,323,723.94/3,174.59
  6. Step 6: Final answer
    x = 3,566.99

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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.