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Finding the Fourth Proportional to 2,339.02, 3,506.09 and 951.80

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Solution

The fourth proportional to 2,339.02, 3,506.09 and 951.80 is: 1,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.02 : 3,506.09 = 951.80 : x
  2. Step 2: Convert to fraction form
    2,339.02/3,506.09 = 951.80/x
  3. Step 3: Cross multiply
    2,339.02x = 3,506.09 × 951.80
  4. Step 4: Simplify right side
    2,339.02x = 3,337,096.46
  5. Step 5: Solve for x
    x = 3,337,096.46/2,339.02
  6. Step 6: Final answer
    x = 1,426.71

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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.