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Finding the Fourth Proportional to 4,790, 7,185 and 1,327.25

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Solution

The fourth proportional to 4,790, 7,185 and 1,327.25 is: 1,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790 : 7,185 = 1,327.25 : x
  2. Step 2: Convert to fraction form
    4,790/7,185 = 1,327.25/x
  3. Step 3: Cross multiply
    4,790x = 7,185 × 1,327.25
  4. Step 4: Simplify right side
    4,790x = 9,536,291.25
  5. Step 5: Solve for x
    x = 9,536,291.25/4,790
  6. Step 6: Final answer
    x = 1,990.88

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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.