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Finding the Fourth Proportional to 2,323.20, 3,485.30 and 679.62

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Solution

The fourth proportional to 2,323.20, 3,485.30 and 679.62 is: 1,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.20 : 3,485.30 = 679.62 : x
  2. Step 2: Convert to fraction form
    2,323.20/3,485.30 = 679.62/x
  3. Step 3: Cross multiply
    2,323.20x = 3,485.30 × 679.62
  4. Step 4: Simplify right side
    2,323.20x = 2,368,679.59
  5. Step 5: Solve for x
    x = 2,368,679.59/2,323.20
  6. Step 6: Final answer
    x = 1,019.58

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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.