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Finding the Fourth Proportional to 2,910.02, 4,364.70 and 830.20

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Solution

The fourth proportional to 2,910.02, 4,364.70 and 830.20 is: 1,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.02 : 4,364.70 = 830.20 : x
  2. Step 2: Convert to fraction form
    2,910.02/4,364.70 = 830.20/x
  3. Step 3: Cross multiply
    2,910.02x = 4,364.70 × 830.20
  4. Step 4: Simplify right side
    2,910.02x = 3,623,573.94
  5. Step 5: Solve for x
    x = 3,623,573.94/2,910.02
  6. Step 6: Final answer
    x = 1,245.21

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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.