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Finding the Fourth Proportional to 2,704.88, 4,061.96 and 1,671

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Solution

The fourth proportional to 2,704.88, 4,061.96 and 1,671 is: 2,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.88 : 4,061.96 = 1,671 : x
  2. Step 2: Convert to fraction form
    2,704.88/4,061.96 = 1,671/x
  3. Step 3: Cross multiply
    2,704.88x = 4,061.96 × 1,671
  4. Step 4: Simplify right side
    2,704.88x = 6,787,535.16
  5. Step 5: Solve for x
    x = 6,787,535.16/2,704.88
  6. Step 6: Final answer
    x = 2,509.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.