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Finding the Fourth Proportional to 2,689.34, 4,034.21 and 840.38

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Solution

The fourth proportional to 2,689.34, 4,034.21 and 840.38 is: 1,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.34 : 4,034.21 = 840.38 : x
  2. Step 2: Convert to fraction form
    2,689.34/4,034.21 = 840.38/x
  3. Step 3: Cross multiply
    2,689.34x = 4,034.21 × 840.38
  4. Step 4: Simplify right side
    2,689.34x = 3,390,245.03
  5. Step 5: Solve for x
    x = 3,390,245.03/2,689.34
  6. Step 6: Final answer
    x = 1,260.63

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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.