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Finding the Fourth Proportional to 2,601.28, 3,591.50 and 1,539.39

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Solution

The fourth proportional to 2,601.28, 3,591.50 and 1,539.39 is: 2,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.28 : 3,591.50 = 1,539.39 : x
  2. Step 2: Convert to fraction form
    2,601.28/3,591.50 = 1,539.39/x
  3. Step 3: Cross multiply
    2,601.28x = 3,591.50 × 1,539.39
  4. Step 4: Simplify right side
    2,601.28x = 5,528,703.31
  5. Step 5: Solve for x
    x = 5,528,703.31/2,601.28
  6. Step 6: Final answer
    x = 2,125.38

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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.