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Finding the Fourth Proportional to 3,281.72, 4,527.42 and 2,039

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Solution

The fourth proportional to 3,281.72, 4,527.42 and 2,039 is: 2,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.72 : 4,527.42 = 2,039 : x
  2. Step 2: Convert to fraction form
    3,281.72/4,527.42 = 2,039/x
  3. Step 3: Cross multiply
    3,281.72x = 4,527.42 × 2,039
  4. Step 4: Simplify right side
    3,281.72x = 9,231,409.38
  5. Step 5: Solve for x
    x = 9,231,409.38/3,281.72
  6. Step 6: Final answer
    x = 2,812.98

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Why These Related Problems?

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