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Finding the Fourth Proportional to 1,706.45, 2,354.87 and 950.23

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Solution

The fourth proportional to 1,706.45, 2,354.87 and 950.23 is: 1,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.45 : 2,354.87 = 950.23 : x
  2. Step 2: Convert to fraction form
    1,706.45/2,354.87 = 950.23/x
  3. Step 3: Cross multiply
    1,706.45x = 2,354.87 × 950.23
  4. Step 4: Simplify right side
    1,706.45x = 2,237,659.86
  5. Step 5: Solve for x
    x = 2,237,659.86/1,706.45
  6. Step 6: Final answer
    x = 1,311.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.