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Finding the Fourth Proportional to 2,893.53, 4,340.90 and 1,162.29

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Solution

The fourth proportional to 2,893.53, 4,340.90 and 1,162.29 is: 1,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.53 : 4,340.90 = 1,162.29 : x
  2. Step 2: Convert to fraction form
    2,893.53/4,340.90 = 1,162.29/x
  3. Step 3: Cross multiply
    2,893.53x = 4,340.90 × 1,162.29
  4. Step 4: Simplify right side
    2,893.53x = 5,045,378.85
  5. Step 5: Solve for x
    x = 5,045,378.85/2,893.53
  6. Step 6: Final answer
    x = 1,743.68

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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.