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Finding the Fourth Proportional to 2,329.88, 3,494.12 and 685.92

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Solution

The fourth proportional to 2,329.88, 3,494.12 and 685.92 is: 1,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.88 : 3,494.12 = 685.92 : x
  2. Step 2: Convert to fraction form
    2,329.88/3,494.12 = 685.92/x
  3. Step 3: Cross multiply
    2,329.88x = 3,494.12 × 685.92
  4. Step 4: Simplify right side
    2,329.88x = 2,396,686.79
  5. Step 5: Solve for x
    x = 2,396,686.79/2,329.88
  6. Step 6: Final answer
    x = 1,028.67

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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.