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Finding the Fourth Proportional to 2,594.51, 3,892.10 and 951.83

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Solution

The fourth proportional to 2,594.51, 3,892.10 and 951.83 is: 1,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.51 : 3,892.10 = 951.83 : x
  2. Step 2: Convert to fraction form
    2,594.51/3,892.10 = 951.83/x
  3. Step 3: Cross multiply
    2,594.51x = 3,892.10 × 951.83
  4. Step 4: Simplify right side
    2,594.51x = 3,704,617.54
  5. Step 5: Solve for x
    x = 3,704,617.54/2,594.51
  6. Step 6: Final answer
    x = 1,427.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.