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Finding the Fourth Proportional to 2,172.21, 3,258.50 and 612.22

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Solution

The fourth proportional to 2,172.21, 3,258.50 and 612.22 is: 918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.21 : 3,258.50 = 612.22 : x
  2. Step 2: Convert to fraction form
    2,172.21/3,258.50 = 612.22/x
  3. Step 3: Cross multiply
    2,172.21x = 3,258.50 × 612.22
  4. Step 4: Simplify right side
    2,172.21x = 1,994,927.78
  5. Step 5: Solve for x
    x = 1,994,927.78/2,172.21
  6. Step 6: Final answer
    x = 918.39

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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.