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Finding the Fourth Proportional to 2,742.20, 4,114.22 and 893.37

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Solution

The fourth proportional to 2,742.20, 4,114.22 and 893.37 is: 1,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.20 : 4,114.22 = 893.37 : x
  2. Step 2: Convert to fraction form
    2,742.20/4,114.22 = 893.37/x
  3. Step 3: Cross multiply
    2,742.20x = 4,114.22 × 893.37
  4. Step 4: Simplify right side
    2,742.20x = 3,675,520.72
  5. Step 5: Solve for x
    x = 3,675,520.72/2,742.20
  6. Step 6: Final answer
    x = 1,340.35

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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.