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Finding the Fourth Proportional to 2,678.94, 4,018.68 and 731.28

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Solution

The fourth proportional to 2,678.94, 4,018.68 and 731.28 is: 1,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.94 : 4,018.68 = 731.28 : x
  2. Step 2: Convert to fraction form
    2,678.94/4,018.68 = 731.28/x
  3. Step 3: Cross multiply
    2,678.94x = 4,018.68 × 731.28
  4. Step 4: Simplify right side
    2,678.94x = 2,938,780.31
  5. Step 5: Solve for x
    x = 2,938,780.31/2,678.94
  6. Step 6: Final answer
    x = 1,096.99

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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.