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Finding the Fourth Proportional to 2,159.14, 3,238.68 and 620.14

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Solution

The fourth proportional to 2,159.14, 3,238.68 and 620.14 is: 930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.14 : 3,238.68 = 620.14 : x
  2. Step 2: Convert to fraction form
    2,159.14/3,238.68 = 620.14/x
  3. Step 3: Cross multiply
    2,159.14x = 3,238.68 × 620.14
  4. Step 4: Simplify right side
    2,159.14x = 2,008,435.02
  5. Step 5: Solve for x
    x = 2,008,435.02/2,159.14
  6. Step 6: Final answer
    x = 930.20

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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.