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Finding the Fourth Proportional to 2,005.24, 3,008.10 and 689.23

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Solution

The fourth proportional to 2,005.24, 3,008.10 and 689.23 is: 1,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.24 : 3,008.10 = 689.23 : x
  2. Step 2: Convert to fraction form
    2,005.24/3,008.10 = 689.23/x
  3. Step 3: Cross multiply
    2,005.24x = 3,008.10 × 689.23
  4. Step 4: Simplify right side
    2,005.24x = 2,073,272.76
  5. Step 5: Solve for x
    x = 2,073,272.76/2,005.24
  6. Step 6: Final answer
    x = 1,033.93

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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.