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Finding the Fourth Proportional to 1,724.36, 2,584.10 and 859.28

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Solution

The fourth proportional to 1,724.36, 2,584.10 and 859.28 is: 1,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.36 : 2,584.10 = 859.28 : x
  2. Step 2: Convert to fraction form
    1,724.36/2,584.10 = 859.28/x
  3. Step 3: Cross multiply
    1,724.36x = 2,584.10 × 859.28
  4. Step 4: Simplify right side
    1,724.36x = 2,220,454.68
  5. Step 5: Solve for x
    x = 2,220,454.68/1,724.36
  6. Step 6: Final answer
    x = 1,287.70

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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.