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Finding the Fourth Proportional to 2,535.81, 3,798.42 and 2,039.54

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Solution

The fourth proportional to 2,535.81, 3,798.42 and 2,039.54 is: 3,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.81 : 3,798.42 = 2,039.54 : x
  2. Step 2: Convert to fraction form
    2,535.81/3,798.42 = 2,039.54/x
  3. Step 3: Cross multiply
    2,535.81x = 3,798.42 × 2,039.54
  4. Step 4: Simplify right side
    2,535.81x = 7,747,000.34
  5. Step 5: Solve for x
    x = 7,747,000.34/2,535.81
  6. Step 6: Final answer
    x = 3,055.04

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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.