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Finding the Fourth Proportional to 2,007.11, 3,009.91 and 690.49

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Solution

The fourth proportional to 2,007.11, 3,009.91 and 690.49 is: 1,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.11 : 3,009.91 = 690.49 : x
  2. Step 2: Convert to fraction form
    2,007.11/3,009.91 = 690.49/x
  3. Step 3: Cross multiply
    2,007.11x = 3,009.91 × 690.49
  4. Step 4: Simplify right side
    2,007.11x = 2,078,310.53
  5. Step 5: Solve for x
    x = 2,078,310.53/2,007.11
  6. Step 6: Final answer
    x = 1,035.48

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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.