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Finding the Fourth Proportional to 2,594.46, 3,889.37 and 950.62

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Solution

The fourth proportional to 2,594.46, 3,889.37 and 950.62 is: 1,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.46 : 3,889.37 = 950.62 : x
  2. Step 2: Convert to fraction form
    2,594.46/3,889.37 = 950.62/x
  3. Step 3: Cross multiply
    2,594.46x = 3,889.37 × 950.62
  4. Step 4: Simplify right side
    2,594.46x = 3,697,329.93
  5. Step 5: Solve for x
    x = 3,697,329.93/2,594.46
  6. Step 6: Final answer
    x = 1,425.09

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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.