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Finding the Fourth Proportional to 1,757.92, 2,637.31 and 1,446.06

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Solution

The fourth proportional to 1,757.92, 2,637.31 and 1,446.06 is: 2,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.92 : 2,637.31 = 1,446.06 : x
  2. Step 2: Convert to fraction form
    1,757.92/2,637.31 = 1,446.06/x
  3. Step 3: Cross multiply
    1,757.92x = 2,637.31 × 1,446.06
  4. Step 4: Simplify right side
    1,757.92x = 3,813,704.50
  5. Step 5: Solve for x
    x = 3,813,704.50/1,757.92
  6. Step 6: Final answer
    x = 2,169.45

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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.