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Finding the Fourth Proportional to 1,724.12, 2,585.82 and 858.68

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Solution

The fourth proportional to 1,724.12, 2,585.82 and 858.68 is: 1,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.12 : 2,585.82 = 858.68 : x
  2. Step 2: Convert to fraction form
    1,724.12/2,585.82 = 858.68/x
  3. Step 3: Cross multiply
    1,724.12x = 2,585.82 × 858.68
  4. Step 4: Simplify right side
    1,724.12x = 2,220,391.92
  5. Step 5: Solve for x
    x = 2,220,391.92/1,724.12
  6. Step 6: Final answer
    x = 1,287.84

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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.