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Finding the Fourth Proportional to 2,594.88, 3,889.80 and 1,727.28

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Solution

The fourth proportional to 2,594.88, 3,889.80 and 1,727.28 is: 2,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.88 : 3,889.80 = 1,727.28 : x
  2. Step 2: Convert to fraction form
    2,594.88/3,889.80 = 1,727.28/x
  3. Step 3: Cross multiply
    2,594.88x = 3,889.80 × 1,727.28
  4. Step 4: Simplify right side
    2,594.88x = 6,718,773.74
  5. Step 5: Solve for x
    x = 6,718,773.74/2,594.88
  6. Step 6: Final answer
    x = 2,589.24

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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.