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Finding the Fourth Proportional to 2,770.18, 4,154.82 and 921.22

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Solution

The fourth proportional to 2,770.18, 4,154.82 and 921.22 is: 1,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.18 : 4,154.82 = 921.22 : x
  2. Step 2: Convert to fraction form
    2,770.18/4,154.82 = 921.22/x
  3. Step 3: Cross multiply
    2,770.18x = 4,154.82 × 921.22
  4. Step 4: Simplify right side
    2,770.18x = 3,827,503.28
  5. Step 5: Solve for x
    x = 3,827,503.28/2,770.18
  6. Step 6: Final answer
    x = 1,381.68

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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.