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Finding the Fourth Proportional to 2,768.65, 4,155.33 and 1,381.58

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Solution

The fourth proportional to 2,768.65, 4,155.33 and 1,381.58 is: 2,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.65 : 4,155.33 = 1,381.58 : x
  2. Step 2: Convert to fraction form
    2,768.65/4,155.33 = 1,381.58/x
  3. Step 3: Cross multiply
    2,768.65x = 4,155.33 × 1,381.58
  4. Step 4: Simplify right side
    2,768.65x = 5,740,900.04
  5. Step 5: Solve for x
    x = 5,740,900.04/2,768.65
  6. Step 6: Final answer
    x = 2,073.54

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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.