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Finding the Fourth Proportional to 2,595.60, 3,893.27 and 1,208.43

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Solution

The fourth proportional to 2,595.60, 3,893.27 and 1,208.43 is: 1,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.60 : 3,893.27 = 1,208.43 : x
  2. Step 2: Convert to fraction form
    2,595.60/3,893.27 = 1,208.43/x
  3. Step 3: Cross multiply
    2,595.60x = 3,893.27 × 1,208.43
  4. Step 4: Simplify right side
    2,595.60x = 4,704,738.22
  5. Step 5: Solve for x
    x = 4,704,738.22/2,595.60
  6. Step 6: Final answer
    x = 1,812.58

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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.