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Finding the Fourth Proportional to 2,752.36, 3,796.98 and 2,006.04

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Solution

The fourth proportional to 2,752.36, 3,796.98 and 2,006.04 is: 2,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.36 : 3,796.98 = 2,006.04 : x
  2. Step 2: Convert to fraction form
    2,752.36/3,796.98 = 2,006.04/x
  3. Step 3: Cross multiply
    2,752.36x = 3,796.98 × 2,006.04
  4. Step 4: Simplify right side
    2,752.36x = 7,616,893.76
  5. Step 5: Solve for x
    x = 7,616,893.76/2,752.36
  6. Step 6: Final answer
    x = 2,767.40

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Why These Related Problems?

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