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Finding the Fourth Proportional to 2,366.89, 3,544.86 and 2,284.88

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Solution

The fourth proportional to 2,366.89, 3,544.86 and 2,284.88 is: 3,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.89 : 3,544.86 = 2,284.88 : x
  2. Step 2: Convert to fraction form
    2,366.89/3,544.86 = 2,284.88/x
  3. Step 3: Cross multiply
    2,366.89x = 3,544.86 × 2,284.88
  4. Step 4: Simplify right side
    2,366.89x = 8,099,561.99
  5. Step 5: Solve for x
    x = 8,099,561.99/2,366.89
  6. Step 6: Final answer
    x = 3,422.03

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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.