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Finding the Fourth Proportional to 2,156.81, 3,235.41 and 923.94

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Solution

The fourth proportional to 2,156.81, 3,235.41 and 923.94 is: 1,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.81 : 3,235.41 = 923.94 : x
  2. Step 2: Convert to fraction form
    2,156.81/3,235.41 = 923.94/x
  3. Step 3: Cross multiply
    2,156.81x = 3,235.41 × 923.94
  4. Step 4: Simplify right side
    2,156.81x = 2,989,324.72
  5. Step 5: Solve for x
    x = 2,989,324.72/2,156.81
  6. Step 6: Final answer
    x = 1,385.99

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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.