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Finding the Fourth Proportional to 3,042.41, 4,564.38 and 851.15

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Solution

The fourth proportional to 3,042.41, 4,564.38 and 851.15 is: 1,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.41 : 4,564.38 = 851.15 : x
  2. Step 2: Convert to fraction form
    3,042.41/4,564.38 = 851.15/x
  3. Step 3: Cross multiply
    3,042.41x = 4,564.38 × 851.15
  4. Step 4: Simplify right side
    3,042.41x = 3,884,949.22
  5. Step 5: Solve for x
    x = 3,884,949.22/3,042.41
  6. Step 6: Final answer
    x = 1,276.93

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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.