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Finding the Fourth Proportional to 2,742.72, 4,114.10 and 893.85

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Solution

The fourth proportional to 2,742.72, 4,114.10 and 893.85 is: 1,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.72 : 4,114.10 = 893.85 : x
  2. Step 2: Convert to fraction form
    2,742.72/4,114.10 = 893.85/x
  3. Step 3: Cross multiply
    2,742.72x = 4,114.10 × 893.85
  4. Step 4: Simplify right side
    2,742.72x = 3,677,388.29
  5. Step 5: Solve for x
    x = 3,677,388.29/2,742.72
  6. Step 6: Final answer
    x = 1,340.78

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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.