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Finding the Fourth Proportional to 3,080.40, 4,624.20 and 1,765.20

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Solution

The fourth proportional to 3,080.40, 4,624.20 and 1,765.20 is: 2,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.40 : 4,624.20 = 1,765.20 : x
  2. Step 2: Convert to fraction form
    3,080.40/4,624.20 = 1,765.20/x
  3. Step 3: Cross multiply
    3,080.40x = 4,624.20 × 1,765.20
  4. Step 4: Simplify right side
    3,080.40x = 8,162,637.84
  5. Step 5: Solve for x
    x = 8,162,637.84/3,080.40
  6. Step 6: Final answer
    x = 2,649.86

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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.