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Finding the Fourth Proportional to 1,832.35, 2,743.66 and 964.84

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Solution

The fourth proportional to 1,832.35, 2,743.66 and 964.84 is: 1,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.35 : 2,743.66 = 964.84 : x
  2. Step 2: Convert to fraction form
    1,832.35/2,743.66 = 964.84/x
  3. Step 3: Cross multiply
    1,832.35x = 2,743.66 × 964.84
  4. Step 4: Simplify right side
    1,832.35x = 2,647,192.91
  5. Step 5: Solve for x
    x = 2,647,192.91/1,832.35
  6. Step 6: Final answer
    x = 1,444.70

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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.