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Finding the Fourth Proportional to 2,770.17, 4,155.74 and 921.38

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Solution

The fourth proportional to 2,770.17, 4,155.74 and 921.38 is: 1,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.17 : 4,155.74 = 921.38 : x
  2. Step 2: Convert to fraction form
    2,770.17/4,155.74 = 921.38/x
  3. Step 3: Cross multiply
    2,770.17x = 4,155.74 × 921.38
  4. Step 4: Simplify right side
    2,770.17x = 3,828,993.79
  5. Step 5: Solve for x
    x = 3,828,993.79/2,770.17
  6. Step 6: Final answer
    x = 1,382.23

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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.