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Finding the Fourth Proportional to 1,522.35, 2,278.67 and 790.92

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Solution

The fourth proportional to 1,522.35, 2,278.67 and 790.92 is: 1,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.35 : 2,278.67 = 790.92 : x
  2. Step 2: Convert to fraction form
    1,522.35/2,278.67 = 790.92/x
  3. Step 3: Cross multiply
    1,522.35x = 2,278.67 × 790.92
  4. Step 4: Simplify right side
    1,522.35x = 1,802,241.72
  5. Step 5: Solve for x
    x = 1,802,241.72/1,522.35
  6. Step 6: Final answer
    x = 1,183.86

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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.