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Finding the Fourth Proportional to 3,042.96, 4,564.43 and 851.70

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Solution

The fourth proportional to 3,042.96, 4,564.43 and 851.70 is: 1,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.96 : 4,564.43 = 851.70 : x
  2. Step 2: Convert to fraction form
    3,042.96/4,564.43 = 851.70/x
  3. Step 3: Cross multiply
    3,042.96x = 4,564.43 × 851.70
  4. Step 4: Simplify right side
    3,042.96x = 3,887,525.03
  5. Step 5: Solve for x
    x = 3,887,525.03/3,042.96
  6. Step 6: Final answer
    x = 1,277.55

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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.