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Finding the Fourth Proportional to 2,958.66, 4,080.78 and 2,584.86

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Solution

The fourth proportional to 2,958.66, 4,080.78 and 2,584.86 is: 3,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.66 : 4,080.78 = 2,584.86 : x
  2. Step 2: Convert to fraction form
    2,958.66/4,080.78 = 2,584.86/x
  3. Step 3: Cross multiply
    2,958.66x = 4,080.78 × 2,584.86
  4. Step 4: Simplify right side
    2,958.66x = 10,548,244.99
  5. Step 5: Solve for x
    x = 10,548,244.99/2,958.66
  6. Step 6: Final answer
    x = 3,565.21

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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.