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Finding the Fourth Proportional to 3,042.60, 4,563.85 and 851.30

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Solution

The fourth proportional to 3,042.60, 4,563.85 and 851.30 is: 1,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.60 : 4,563.85 = 851.30 : x
  2. Step 2: Convert to fraction form
    3,042.60/4,563.85 = 851.30/x
  3. Step 3: Cross multiply
    3,042.60x = 4,563.85 × 851.30
  4. Step 4: Simplify right side
    3,042.60x = 3,885,178.43
  5. Step 5: Solve for x
    x = 3,885,178.43/3,042.60
  6. Step 6: Final answer
    x = 1,276.93

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1.5x scale

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.