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Finding the Fourth Proportional to 2,589.39, 3,573.68 and 1,709.15

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Solution

The fourth proportional to 2,589.39, 3,573.68 and 1,709.15 is: 2,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.39 : 3,573.68 = 1,709.15 : x
  2. Step 2: Convert to fraction form
    2,589.39/3,573.68 = 1,709.15/x
  3. Step 3: Cross multiply
    2,589.39x = 3,573.68 × 1,709.15
  4. Step 4: Simplify right side
    2,589.39x = 6,107,928.76
  5. Step 5: Solve for x
    x = 6,107,928.76/2,589.39
  6. Step 6: Final answer
    x = 2,358.83

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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.