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Finding the Fourth Proportional to 3,042.60, 4,563.45 and 851.55

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Solution

The fourth proportional to 3,042.60, 4,563.45 and 851.55 is: 1,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.60 : 4,563.45 = 851.55 : x
  2. Step 2: Convert to fraction form
    3,042.60/4,563.45 = 851.55/x
  3. Step 3: Cross multiply
    3,042.60x = 4,563.45 × 851.55
  4. Step 4: Simplify right side
    3,042.60x = 3,886,005.85
  5. Step 5: Solve for x
    x = 3,886,005.85/3,042.60
  6. Step 6: Final answer
    x = 1,277.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.