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Finding the Fourth Proportional to 2,721.63, 4,078.85 and 988.59

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Solution

The fourth proportional to 2,721.63, 4,078.85 and 988.59 is: 1,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.63 : 4,078.85 = 988.59 : x
  2. Step 2: Convert to fraction form
    2,721.63/4,078.85 = 988.59/x
  3. Step 3: Cross multiply
    2,721.63x = 4,078.85 × 988.59
  4. Step 4: Simplify right side
    2,721.63x = 4,032,305.38
  5. Step 5: Solve for x
    x = 4,032,305.38/2,721.63
  6. Step 6: Final answer
    x = 1,481.58

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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.