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Finding the Fourth Proportional to 2,173.39, 3,260.30 and 613.39

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Solution

The fourth proportional to 2,173.39, 3,260.30 and 613.39 is: 920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.39 : 3,260.30 = 613.39 : x
  2. Step 2: Convert to fraction form
    2,173.39/3,260.30 = 613.39/x
  3. Step 3: Cross multiply
    2,173.39x = 3,260.30 × 613.39
  4. Step 4: Simplify right side
    2,173.39x = 1,999,835.42
  5. Step 5: Solve for x
    x = 1,999,835.42/2,173.39
  6. Step 6: Final answer
    x = 920.15

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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.