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Finding the Fourth Proportional to 2,004.74, 3,001.86 and 1,612.66

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Solution

The fourth proportional to 2,004.74, 3,001.86 and 1,612.66 is: 2,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.74 : 3,001.86 = 1,612.66 : x
  2. Step 2: Convert to fraction form
    2,004.74/3,001.86 = 1,612.66/x
  3. Step 3: Cross multiply
    2,004.74x = 3,001.86 × 1,612.66
  4. Step 4: Simplify right side
    2,004.74x = 4,840,979.55
  5. Step 5: Solve for x
    x = 4,840,979.55/2,004.74
  6. Step 6: Final answer
    x = 2,414.77

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