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Finding the Fourth Proportional to 1,723.42, 2,584.52 and 798.81

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Solution

The fourth proportional to 1,723.42, 2,584.52 and 798.81 is: 1,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.42 : 2,584.52 = 798.81 : x
  2. Step 2: Convert to fraction form
    1,723.42/2,584.52 = 798.81/x
  3. Step 3: Cross multiply
    1,723.42x = 2,584.52 × 798.81
  4. Step 4: Simplify right side
    1,723.42x = 2,064,529.73
  5. Step 5: Solve for x
    x = 2,064,529.73/1,723.42
  6. Step 6: Final answer
    x = 1,197.93

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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.