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Finding the Fourth Proportional to 2,004.74, 3,007.11 and 1,385.06

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Solution

The fourth proportional to 2,004.74, 3,007.11 and 1,385.06 is: 2,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.74 : 3,007.11 = 1,385.06 : x
  2. Step 2: Convert to fraction form
    2,004.74/3,007.11 = 1,385.06/x
  3. Step 3: Cross multiply
    2,004.74x = 3,007.11 × 1,385.06
  4. Step 4: Simplify right side
    2,004.74x = 4,165,027.78
  5. Step 5: Solve for x
    x = 4,165,027.78/2,004.74
  6. Step 6: Final answer
    x = 2,077.59

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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.