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Finding the Fourth Proportional to 2,767.46, 4,151.16 and 1,123.62

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Solution

The fourth proportional to 2,767.46, 4,151.16 and 1,123.62 is: 1,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.46 : 4,151.16 = 1,123.62 : x
  2. Step 2: Convert to fraction form
    2,767.46/4,151.16 = 1,123.62/x
  3. Step 3: Cross multiply
    2,767.46x = 4,151.16 × 1,123.62
  4. Step 4: Simplify right side
    2,767.46x = 4,664,326.40
  5. Step 5: Solve for x
    x = 4,664,326.40/2,767.46
  6. Step 6: Final answer
    x = 1,685.42

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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.