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Finding the Fourth Proportional to 2,172.56, 3,258.83 and 529.10

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Solution

The fourth proportional to 2,172.56, 3,258.83 and 529.10 is: 793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.56 : 3,258.83 = 529.10 : x
  2. Step 2: Convert to fraction form
    2,172.56/3,258.83 = 529.10/x
  3. Step 3: Cross multiply
    2,172.56x = 3,258.83 × 529.10
  4. Step 4: Simplify right side
    2,172.56x = 1,724,244.20
  5. Step 5: Solve for x
    x = 1,724,244.20/2,172.56
  6. Step 6: Final answer
    x = 793.65

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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.