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Finding the Fourth Proportional to 2,188.41, 3,280.56 and 954.81

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Solution

The fourth proportional to 2,188.41, 3,280.56 and 954.81 is: 1,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.41 : 3,280.56 = 954.81 : x
  2. Step 2: Convert to fraction form
    2,188.41/3,280.56 = 954.81/x
  3. Step 3: Cross multiply
    2,188.41x = 3,280.56 × 954.81
  4. Step 4: Simplify right side
    2,188.41x = 3,132,295.09
  5. Step 5: Solve for x
    x = 3,132,295.09/2,188.41
  6. Step 6: Final answer
    x = 1,431.31

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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.