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Finding the Fourth Proportional to 1,689.58, 2,534.37 and 949.24

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Solution

The fourth proportional to 1,689.58, 2,534.37 and 949.24 is: 1,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.58 : 2,534.37 = 949.24 : x
  2. Step 2: Convert to fraction form
    1,689.58/2,534.37 = 949.24/x
  3. Step 3: Cross multiply
    1,689.58x = 2,534.37 × 949.24
  4. Step 4: Simplify right side
    1,689.58x = 2,405,725.38
  5. Step 5: Solve for x
    x = 2,405,725.38/1,689.58
  6. Step 6: Final answer
    x = 1,423.86

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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.