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Finding the Fourth Proportional to 1,626.96, 2,441.20 and 653.68

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Solution

The fourth proportional to 1,626.96, 2,441.20 and 653.68 is: 980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.96 : 2,441.20 = 653.68 : x
  2. Step 2: Convert to fraction form
    1,626.96/2,441.20 = 653.68/x
  3. Step 3: Cross multiply
    1,626.96x = 2,441.20 × 653.68
  4. Step 4: Simplify right side
    1,626.96x = 1,595,763.62
  5. Step 5: Solve for x
    x = 1,595,763.62/1,626.96
  6. Step 6: Final answer
    x = 980.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.