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Finding the Fourth Proportional to 2,770.88, 4,156.52 and 921.96

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Solution

The fourth proportional to 2,770.88, 4,156.52 and 921.96 is: 1,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.88 : 4,156.52 = 921.96 : x
  2. Step 2: Convert to fraction form
    2,770.88/4,156.52 = 921.96/x
  3. Step 3: Cross multiply
    2,770.88x = 4,156.52 × 921.96
  4. Step 4: Simplify right side
    2,770.88x = 3,832,140.57
  5. Step 5: Solve for x
    x = 3,832,140.57/2,770.88
  6. Step 6: Final answer
    x = 1,383.01

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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.