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Finding the Fourth Proportional to 2,770.66, 4,156.38 and 921.98

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Solution

The fourth proportional to 2,770.66, 4,156.38 and 921.98 is: 1,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.66 : 4,156.38 = 921.98 : x
  2. Step 2: Convert to fraction form
    2,770.66/4,156.38 = 921.98/x
  3. Step 3: Cross multiply
    2,770.66x = 4,156.38 × 921.98
  4. Step 4: Simplify right side
    2,770.66x = 3,832,099.23
  5. Step 5: Solve for x
    x = 3,832,099.23/2,770.66
  6. Step 6: Final answer
    x = 1,383.10

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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.