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Finding the Fourth Proportional to 1,724.91, 2,587.38 and 426.39

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Solution

The fourth proportional to 1,724.91, 2,587.38 and 426.39 is: 639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.91 : 2,587.38 = 426.39 : x
  2. Step 2: Convert to fraction form
    1,724.91/2,587.38 = 426.39/x
  3. Step 3: Cross multiply
    1,724.91x = 2,587.38 × 426.39
  4. Step 4: Simplify right side
    1,724.91x = 1,103,232.96
  5. Step 5: Solve for x
    x = 1,103,232.96/1,724.91
  6. Step 6: Final answer
    x = 639.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.