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Finding the Fourth Proportional to 2,699.66, 4,051.56 and 2,007.92

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Solution

The fourth proportional to 2,699.66, 4,051.56 and 2,007.92 is: 3,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.66 : 4,051.56 = 2,007.92 : x
  2. Step 2: Convert to fraction form
    2,699.66/4,051.56 = 2,007.92/x
  3. Step 3: Cross multiply
    2,699.66x = 4,051.56 × 2,007.92
  4. Step 4: Simplify right side
    2,699.66x = 8,135,208.36
  5. Step 5: Solve for x
    x = 8,135,208.36/2,699.66
  6. Step 6: Final answer
    x = 3,013.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.