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Finding the Fourth Proportional to 2,584.81, 3,873.36 and 1,123.16

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Solution

The fourth proportional to 2,584.81, 3,873.36 and 1,123.16 is: 1,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.81 : 3,873.36 = 1,123.16 : x
  2. Step 2: Convert to fraction form
    2,584.81/3,873.36 = 1,123.16/x
  3. Step 3: Cross multiply
    2,584.81x = 3,873.36 × 1,123.16
  4. Step 4: Simplify right side
    2,584.81x = 4,350,403.02
  5. Step 5: Solve for x
    x = 4,350,403.02/2,584.81
  6. Step 6: Final answer
    x = 1,683.07

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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.