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Finding the Fourth Proportional to 2,151.09, 3,225.92 and 689.90

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Solution

The fourth proportional to 2,151.09, 3,225.92 and 689.90 is: 1,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.09 : 3,225.92 = 689.90 : x
  2. Step 2: Convert to fraction form
    2,151.09/3,225.92 = 689.90/x
  3. Step 3: Cross multiply
    2,151.09x = 3,225.92 × 689.90
  4. Step 4: Simplify right side
    2,151.09x = 2,225,542.63
  5. Step 5: Solve for x
    x = 2,225,542.63/2,151.09
  6. Step 6: Final answer
    x = 1,034.61

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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.