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Finding the Fourth Proportional to 2,001.94, 2,756.14 and 1,739.86

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Solution

The fourth proportional to 2,001.94, 2,756.14 and 1,739.86 is: 2,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.94 : 2,756.14 = 1,739.86 : x
  2. Step 2: Convert to fraction form
    2,001.94/2,756.14 = 1,739.86/x
  3. Step 3: Cross multiply
    2,001.94x = 2,756.14 × 1,739.86
  4. Step 4: Simplify right side
    2,001.94x = 4,795,286.50
  5. Step 5: Solve for x
    x = 4,795,286.50/2,001.94
  6. Step 6: Final answer
    x = 2,395.32

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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.