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Finding the Fourth Proportional to 2,172.95, 3,259.94 and 712.22

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Solution

The fourth proportional to 2,172.95, 3,259.94 and 712.22 is: 1,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.95 : 3,259.94 = 712.22 : x
  2. Step 2: Convert to fraction form
    2,172.95/3,259.94 = 712.22/x
  3. Step 3: Cross multiply
    2,172.95x = 3,259.94 × 712.22
  4. Step 4: Simplify right side
    2,172.95x = 2,321,794.47
  5. Step 5: Solve for x
    x = 2,321,794.47/2,172.95
  6. Step 6: Final answer
    x = 1,068.50

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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.