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Finding the Fourth Proportional to 2,044.38, 2,802.81 and 2,007.47

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Solution

The fourth proportional to 2,044.38, 2,802.81 and 2,007.47 is: 2,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.38 : 2,802.81 = 2,007.47 : x
  2. Step 2: Convert to fraction form
    2,044.38/2,802.81 = 2,007.47/x
  3. Step 3: Cross multiply
    2,044.38x = 2,802.81 × 2,007.47
  4. Step 4: Simplify right side
    2,044.38x = 5,626,556.99
  5. Step 5: Solve for x
    x = 5,626,556.99/2,044.38
  6. Step 6: Final answer
    x = 2,752.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.