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Finding the Fourth Proportional to 2,038.53, 2,812.81 and 1,199.41

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Solution

The fourth proportional to 2,038.53, 2,812.81 and 1,199.41 is: 1,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.53 : 2,812.81 = 1,199.41 : x
  2. Step 2: Convert to fraction form
    2,038.53/2,812.81 = 1,199.41/x
  3. Step 3: Cross multiply
    2,038.53x = 2,812.81 × 1,199.41
  4. Step 4: Simplify right side
    2,038.53x = 3,373,712.44
  5. Step 5: Solve for x
    x = 3,373,712.44/2,038.53
  6. Step 6: Final answer
    x = 1,654.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.