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Finding the Fourth Proportional to 1,832.26, 2,748.40 and 964.76

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Solution

The fourth proportional to 1,832.26, 2,748.40 and 964.76 is: 1,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.26 : 2,748.40 = 964.76 : x
  2. Step 2: Convert to fraction form
    1,832.26/2,748.40 = 964.76/x
  3. Step 3: Cross multiply
    1,832.26x = 2,748.40 × 964.76
  4. Step 4: Simplify right side
    1,832.26x = 2,651,546.38
  5. Step 5: Solve for x
    x = 2,651,546.38/1,832.26
  6. Step 6: Final answer
    x = 1,447.15

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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.