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Finding the Fourth Proportional to 2,004.99, 2,767.04 and 1,342.11

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Solution

The fourth proportional to 2,004.99, 2,767.04 and 1,342.11 is: 1,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.99 : 2,767.04 = 1,342.11 : x
  2. Step 2: Convert to fraction form
    2,004.99/2,767.04 = 1,342.11/x
  3. Step 3: Cross multiply
    2,004.99x = 2,767.04 × 1,342.11
  4. Step 4: Simplify right side
    2,004.99x = 3,713,665.34
  5. Step 5: Solve for x
    x = 3,713,665.34/2,004.99
  6. Step 6: Final answer
    x = 1,852.21

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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.