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Finding the Fourth Proportional to 2,742.68, 4,114.92 and 893.85

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Solution

The fourth proportional to 2,742.68, 4,114.92 and 893.85 is: 1,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.68 : 4,114.92 = 893.85 : x
  2. Step 2: Convert to fraction form
    2,742.68/4,114.92 = 893.85/x
  3. Step 3: Cross multiply
    2,742.68x = 4,114.92 × 893.85
  4. Step 4: Simplify right side
    2,742.68x = 3,678,121.24
  5. Step 5: Solve for x
    x = 3,678,121.24/2,742.68
  6. Step 6: Final answer
    x = 1,341.07

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Why These Related Problems?

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