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Finding the Fourth Proportional to 2,172.57, 3,258.86 and 529.11

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Solution

The fourth proportional to 2,172.57, 3,258.86 and 529.11 is: 793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.57 : 3,258.86 = 529.11 : x
  2. Step 2: Convert to fraction form
    2,172.57/3,258.86 = 529.11/x
  3. Step 3: Cross multiply
    2,172.57x = 3,258.86 × 529.11
  4. Step 4: Simplify right side
    2,172.57x = 1,724,292.77
  5. Step 5: Solve for x
    x = 1,724,292.77/2,172.57
  6. Step 6: Final answer
    x = 793.67

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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.