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Finding the Fourth Proportional to 2,767.49, 4,151.23 and 1,123.65

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Solution

The fourth proportional to 2,767.49, 4,151.23 and 1,123.65 is: 1,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.49 : 4,151.23 = 1,123.65 : x
  2. Step 2: Convert to fraction form
    2,767.49/4,151.23 = 1,123.65/x
  3. Step 3: Cross multiply
    2,767.49x = 4,151.23 × 1,123.65
  4. Step 4: Simplify right side
    2,767.49x = 4,664,532.40
  5. Step 5: Solve for x
    x = 4,664,532.40/2,767.49
  6. Step 6: Final answer
    x = 1,685.48

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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.