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Finding the Fourth Proportional to 3,122.34, 4,308.66 and 1,725

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Solution

The fourth proportional to 3,122.34, 4,308.66 and 1,725 is: 2,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.34 : 4,308.66 = 1,725 : x
  2. Step 2: Convert to fraction form
    3,122.34/4,308.66 = 1,725/x
  3. Step 3: Cross multiply
    3,122.34x = 4,308.66 × 1,725
  4. Step 4: Simplify right side
    3,122.34x = 7,432,438.50
  5. Step 5: Solve for x
    x = 7,432,438.50/3,122.34
  6. Step 6: Final answer
    x = 2,380.41

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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.