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Finding the Fourth Proportional to 1,724.34, 2,585.56 and 799.39

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Solution

The fourth proportional to 1,724.34, 2,585.56 and 799.39 is: 1,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.34 : 2,585.56 = 799.39 : x
  2. Step 2: Convert to fraction form
    1,724.34/2,585.56 = 799.39/x
  3. Step 3: Cross multiply
    1,724.34x = 2,585.56 × 799.39
  4. Step 4: Simplify right side
    1,724.34x = 2,066,870.81
  5. Step 5: Solve for x
    x = 2,066,870.81/1,724.34
  6. Step 6: Final answer
    x = 1,198.64

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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.