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Finding the Fourth Proportional to 2,172.98, 3,259.67 and 613.01

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Solution

The fourth proportional to 2,172.98, 3,259.67 and 613.01 is: 919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.98 : 3,259.67 = 613.01 : x
  2. Step 2: Convert to fraction form
    2,172.98/3,259.67 = 613.01/x
  3. Step 3: Cross multiply
    2,172.98x = 3,259.67 × 613.01
  4. Step 4: Simplify right side
    2,172.98x = 1,998,215.39
  5. Step 5: Solve for x
    x = 1,998,215.39/2,172.98
  6. Step 6: Final answer
    x = 919.57

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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.