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Finding the Fourth Proportional to 2,604.56, 3,591.96 and 1,721.26

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Solution

The fourth proportional to 2,604.56, 3,591.96 and 1,721.26 is: 2,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.56 : 3,591.96 = 1,721.26 : x
  2. Step 2: Convert to fraction form
    2,604.56/3,591.96 = 1,721.26/x
  3. Step 3: Cross multiply
    2,604.56x = 3,591.96 × 1,721.26
  4. Step 4: Simplify right side
    2,604.56x = 6,182,697.07
  5. Step 5: Solve for x
    x = 6,182,697.07/2,604.56
  6. Step 6: Final answer
    x = 2,373.80

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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.