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Finding the Fourth Proportional to 1,729.46, 2,592.23 and 689.15

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Solution

The fourth proportional to 1,729.46, 2,592.23 and 689.15 is: 1,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.46 : 2,592.23 = 689.15 : x
  2. Step 2: Convert to fraction form
    1,729.46/2,592.23 = 689.15/x
  3. Step 3: Cross multiply
    1,729.46x = 2,592.23 × 689.15
  4. Step 4: Simplify right side
    1,729.46x = 1,786,438.34
  5. Step 5: Solve for x
    x = 1,786,438.34/1,729.46
  6. Step 6: Final answer
    x = 1,032.94

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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.