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Finding the Fourth Proportional to 4,155.69, 6,232.70 and 1,381.54

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Solution

The fourth proportional to 4,155.69, 6,232.70 and 1,381.54 is: 2,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.69 : 6,232.70 = 1,381.54 : x
  2. Step 2: Convert to fraction form
    4,155.69/6,232.70 = 1,381.54/x
  3. Step 3: Cross multiply
    4,155.69x = 6,232.70 × 1,381.54
  4. Step 4: Simplify right side
    4,155.69x = 8,610,724.36
  5. Step 5: Solve for x
    x = 8,610,724.36/4,155.69
  6. Step 6: Final answer
    x = 2,072.03

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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.