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Finding the Fourth Proportional to 2,007.90, 3,004.96 and 1,387.44

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Solution

The fourth proportional to 2,007.90, 3,004.96 and 1,387.44 is: 2,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.90 : 3,004.96 = 1,387.44 : x
  2. Step 2: Convert to fraction form
    2,007.90/3,004.96 = 1,387.44/x
  3. Step 3: Cross multiply
    2,007.90x = 3,004.96 × 1,387.44
  4. Step 4: Simplify right side
    2,007.90x = 4,169,201.70
  5. Step 5: Solve for x
    x = 4,169,201.70/2,007.90
  6. Step 6: Final answer
    x = 2,076.40

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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.