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Finding the Fourth Proportional to 2,594.57, 3,892.43 and 745.55

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Solution

The fourth proportional to 2,594.57, 3,892.43 and 745.55 is: 1,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.57 : 3,892.43 = 745.55 : x
  2. Step 2: Convert to fraction form
    2,594.57/3,892.43 = 745.55/x
  3. Step 3: Cross multiply
    2,594.57x = 3,892.43 × 745.55
  4. Step 4: Simplify right side
    2,594.57x = 2,901,983.59
  5. Step 5: Solve for x
    x = 2,901,983.59/2,594.57
  6. Step 6: Final answer
    x = 1,118.48

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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.