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Finding the Fourth Proportional to 2,156.81, 3,234.20 and 923.58

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Solution

The fourth proportional to 2,156.81, 3,234.20 and 923.58 is: 1,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.81 : 3,234.20 = 923.58 : x
  2. Step 2: Convert to fraction form
    2,156.81/3,234.20 = 923.58/x
  3. Step 3: Cross multiply
    2,156.81x = 3,234.20 × 923.58
  4. Step 4: Simplify right side
    2,156.81x = 2,987,037.82
  5. Step 5: Solve for x
    x = 2,987,037.82/2,156.81
  6. Step 6: Final answer
    x = 1,384.94

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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.