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Finding the Fourth Proportional to 2,697.26, 4,045.92 and 965.84

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Solution

The fourth proportional to 2,697.26, 4,045.92 and 965.84 is: 1,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.26 : 4,045.92 = 965.84 : x
  2. Step 2: Convert to fraction form
    2,697.26/4,045.92 = 965.84/x
  3. Step 3: Cross multiply
    2,697.26x = 4,045.92 × 965.84
  4. Step 4: Simplify right side
    2,697.26x = 3,907,711.37
  5. Step 5: Solve for x
    x = 3,907,711.37/2,697.26
  6. Step 6: Final answer
    x = 1,448.77

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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.