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Finding the Fourth Proportional to 2,731.34, 3,768.72 and 1,890.68

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Solution

The fourth proportional to 2,731.34, 3,768.72 and 1,890.68 is: 2,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.34 : 3,768.72 = 1,890.68 : x
  2. Step 2: Convert to fraction form
    2,731.34/3,768.72 = 1,890.68/x
  3. Step 3: Cross multiply
    2,731.34x = 3,768.72 × 1,890.68
  4. Step 4: Simplify right side
    2,731.34x = 7,125,443.53
  5. Step 5: Solve for x
    x = 7,125,443.53/2,731.34
  6. Step 6: Final answer
    x = 2,608.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.