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Finding the Fourth Proportional to 1,962.52, 2,944.62 and 730.84

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Solution

The fourth proportional to 1,962.52, 2,944.62 and 730.84 is: 1,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.52 : 2,944.62 = 730.84 : x
  2. Step 2: Convert to fraction form
    1,962.52/2,944.62 = 730.84/x
  3. Step 3: Cross multiply
    1,962.52x = 2,944.62 × 730.84
  4. Step 4: Simplify right side
    1,962.52x = 2,152,046.08
  5. Step 5: Solve for x
    x = 2,152,046.08/1,962.52
  6. Step 6: Final answer
    x = 1,096.57

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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.