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Finding the Fourth Proportional to 2,172.76, 3,259.98 and 923.67

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Solution

The fourth proportional to 2,172.76, 3,259.98 and 923.67 is: 1,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.76 : 3,259.98 = 923.67 : x
  2. Step 2: Convert to fraction form
    2,172.76/3,259.98 = 923.67/x
  3. Step 3: Cross multiply
    2,172.76x = 3,259.98 × 923.67
  4. Step 4: Simplify right side
    2,172.76x = 3,011,145.73
  5. Step 5: Solve for x
    x = 3,011,145.73/2,172.76
  6. Step 6: Final answer
    x = 1,385.86

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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.