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Finding the Fourth Proportional to 2,172.45, 3,259.08 and 711.69

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Solution

The fourth proportional to 2,172.45, 3,259.08 and 711.69 is: 1,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.45 : 3,259.08 = 711.69 : x
  2. Step 2: Convert to fraction form
    2,172.45/3,259.08 = 711.69/x
  3. Step 3: Cross multiply
    2,172.45x = 3,259.08 × 711.69
  4. Step 4: Simplify right side
    2,172.45x = 2,319,454.65
  5. Step 5: Solve for x
    x = 2,319,454.65/2,172.45
  6. Step 6: Final answer
    x = 1,067.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.