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Finding the Fourth Proportional to 1,626.23, 2,439.90 and 515.83

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Solution

The fourth proportional to 1,626.23, 2,439.90 and 515.83 is: 773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.23 : 2,439.90 = 515.83 : x
  2. Step 2: Convert to fraction form
    1,626.23/2,439.90 = 515.83/x
  3. Step 3: Cross multiply
    1,626.23x = 2,439.90 × 515.83
  4. Step 4: Simplify right side
    1,626.23x = 1,258,576.67
  5. Step 5: Solve for x
    x = 1,258,576.67/1,626.23
  6. Step 6: Final answer
    x = 773.92

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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.