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Finding the Fourth Proportional to 2,004.62, 2,989 and 2,001.89

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Solution

The fourth proportional to 2,004.62, 2,989 and 2,001.89 is: 2,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.62 : 2,989 = 2,001.89 : x
  2. Step 2: Convert to fraction form
    2,004.62/2,989 = 2,001.89/x
  3. Step 3: Cross multiply
    2,004.62x = 2,989 × 2,001.89
  4. Step 4: Simplify right side
    2,004.62x = 5,983,649.21
  5. Step 5: Solve for x
    x = 5,983,649.21/2,004.62
  6. Step 6: Final answer
    x = 2,984.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.