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Finding the Fourth Proportional to 2,752.97, 3,802.41 and 2,005.74

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Solution

The fourth proportional to 2,752.97, 3,802.41 and 2,005.74 is: 2,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.97 : 3,802.41 = 2,005.74 : x
  2. Step 2: Convert to fraction form
    2,752.97/3,802.41 = 2,005.74/x
  3. Step 3: Cross multiply
    2,752.97x = 3,802.41 × 2,005.74
  4. Step 4: Simplify right side
    2,752.97x = 7,626,645.83
  5. Step 5: Solve for x
    x = 7,626,645.83/2,752.97
  6. Step 6: Final answer
    x = 2,770.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.