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Finding the Fourth Proportional to 4,684.80, 7,029.90 and 1,765.20

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Solution

The fourth proportional to 4,684.80, 7,029.90 and 1,765.20 is: 2,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.80 : 7,029.90 = 1,765.20 : x
  2. Step 2: Convert to fraction form
    4,684.80/7,029.90 = 1,765.20/x
  3. Step 3: Cross multiply
    4,684.80x = 7,029.90 × 1,765.20
  4. Step 4: Simplify right side
    4,684.80x = 12,409,179.48
  5. Step 5: Solve for x
    x = 12,409,179.48/4,684.80
  6. Step 6: Final answer
    x = 2,648.82

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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.