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Finding the Fourth Proportional to 2,594.67, 3,892.93 and 951.68

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Solution

The fourth proportional to 2,594.67, 3,892.93 and 951.68 is: 1,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.67 : 3,892.93 = 951.68 : x
  2. Step 2: Convert to fraction form
    2,594.67/3,892.93 = 951.68/x
  3. Step 3: Cross multiply
    2,594.67x = 3,892.93 × 951.68
  4. Step 4: Simplify right side
    2,594.67x = 3,704,830.98
  5. Step 5: Solve for x
    x = 3,704,830.98/2,594.67
  6. Step 6: Final answer
    x = 1,427.86

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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.