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Finding the Fourth Proportional to 2,678.98, 4,018.50 and 731.14

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Solution

The fourth proportional to 2,678.98, 4,018.50 and 731.14 is: 1,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.98 : 4,018.50 = 731.14 : x
  2. Step 2: Convert to fraction form
    2,678.98/4,018.50 = 731.14/x
  3. Step 3: Cross multiply
    2,678.98x = 4,018.50 × 731.14
  4. Step 4: Simplify right side
    2,678.98x = 2,938,086.09
  5. Step 5: Solve for x
    x = 2,938,086.09/2,678.98
  6. Step 6: Final answer
    x = 1,096.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.