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Finding the Fourth Proportional to 2,689.63, 4,034.46 and 958.25

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Solution

The fourth proportional to 2,689.63, 4,034.46 and 958.25 is: 1,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.63 : 4,034.46 = 958.25 : x
  2. Step 2: Convert to fraction form
    2,689.63/4,034.46 = 958.25/x
  3. Step 3: Cross multiply
    2,689.63x = 4,034.46 × 958.25
  4. Step 4: Simplify right side
    2,689.63x = 3,866,021.30
  5. Step 5: Solve for x
    x = 3,866,021.30/2,689.63
  6. Step 6: Final answer
    x = 1,437.38

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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.