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Finding the Fourth Proportional to 2,380.80, 3,572.20 and 920.98

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Solution

The fourth proportional to 2,380.80, 3,572.20 and 920.98 is: 1,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.80 : 3,572.20 = 920.98 : x
  2. Step 2: Convert to fraction form
    2,380.80/3,572.20 = 920.98/x
  3. Step 3: Cross multiply
    2,380.80x = 3,572.20 × 920.98
  4. Step 4: Simplify right side
    2,380.80x = 3,289,924.76
  5. Step 5: Solve for x
    x = 3,289,924.76/2,380.80
  6. Step 6: Final answer
    x = 1,381.86

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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.