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Finding the Fourth Proportional to 2,770.90, 4,156.49 and 922.20

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Solution

The fourth proportional to 2,770.90, 4,156.49 and 922.20 is: 1,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.90 : 4,156.49 = 922.20 : x
  2. Step 2: Convert to fraction form
    2,770.90/4,156.49 = 922.20/x
  3. Step 3: Cross multiply
    2,770.90x = 4,156.49 × 922.20
  4. Step 4: Simplify right side
    2,770.90x = 3,833,115.08
  5. Step 5: Solve for x
    x = 3,833,115.08/2,770.90
  6. Step 6: Final answer
    x = 1,383.35

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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.