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Finding the Fourth Proportional to 2,770.81, 4,154.49 and 921.44

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Solution

The fourth proportional to 2,770.81, 4,154.49 and 921.44 is: 1,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.81 : 4,154.49 = 921.44 : x
  2. Step 2: Convert to fraction form
    2,770.81/4,154.49 = 921.44/x
  3. Step 3: Cross multiply
    2,770.81x = 4,154.49 × 921.44
  4. Step 4: Simplify right side
    2,770.81x = 3,828,123.65
  5. Step 5: Solve for x
    x = 3,828,123.65/2,770.81
  6. Step 6: Final answer
    x = 1,381.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.